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Finding the Fourth Proportional to 1,650.75, 2,278.01 and 894.53

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Solution

The fourth proportional to 1,650.75, 2,278.01 and 894.53 is: 1,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.75 : 2,278.01 = 894.53 : x
  2. Step 2: Convert to fraction form
    1,650.75/2,278.01 = 894.53/x
  3. Step 3: Cross multiply
    1,650.75x = 2,278.01 × 894.53
  4. Step 4: Simplify right side
    1,650.75x = 2,037,748.29
  5. Step 5: Solve for x
    x = 2,037,748.29/1,650.75
  6. Step 6: Final answer
    x = 1,234.44

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,651.75, 2,279.39 and 895.53
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.