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Finding the Fourth Proportional to 1,178.42, 1,626.28 and 785.18

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Solution

The fourth proportional to 1,178.42, 1,626.28 and 785.18 is: 1,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.42 : 1,626.28 = 785.18 : x
  2. Step 2: Convert to fraction form
    1,178.42/1,626.28 = 785.18/x
  3. Step 3: Cross multiply
    1,178.42x = 1,626.28 × 785.18
  4. Step 4: Simplify right side
    1,178.42x = 1,276,922.53
  5. Step 5: Solve for x
    x = 1,276,922.53/1,178.42
  6. Step 6: Final answer
    x = 1,083.59

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Half scale
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Double scale
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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.