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Finding the Fourth Proportional to 1,370.19, 1,891.02 and 872.85

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Solution

The fourth proportional to 1,370.19, 1,891.02 and 872.85 is: 1,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.19 : 1,891.02 = 872.85 : x
  2. Step 2: Convert to fraction form
    1,370.19/1,891.02 = 872.85/x
  3. Step 3: Cross multiply
    1,370.19x = 1,891.02 × 872.85
  4. Step 4: Simplify right side
    1,370.19x = 1,650,576.81
  5. Step 5: Solve for x
    x = 1,650,576.81/1,370.19
  6. Step 6: Final answer
    x = 1,204.63

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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.