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Finding the Fourth Proportional to 744.57, 1,117.01 and 257.49

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Solution

The fourth proportional to 744.57, 1,117.01 and 257.49 is: 386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.57 : 1,117.01 = 257.49 : x
  2. Step 2: Convert to fraction form
    744.57/1,117.01 = 257.49/x
  3. Step 3: Cross multiply
    744.57x = 1,117.01 × 257.49
  4. Step 4: Simplify right side
    744.57x = 287,618.90
  5. Step 5: Solve for x
    x = 287,618.90/744.57
  6. Step 6: Final answer
    x = 386.29

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.