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Finding the Fourth Proportional to 515.78, 710.49 and 417.26

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Solution

The fourth proportional to 515.78, 710.49 and 417.26 is: 574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.78 : 710.49 = 417.26 : x
  2. Step 2: Convert to fraction form
    515.78/710.49 = 417.26/x
  3. Step 3: Cross multiply
    515.78x = 710.49 × 417.26
  4. Step 4: Simplify right side
    515.78x = 296,459.06
  5. Step 5: Solve for x
    x = 296,459.06/515.78
  6. Step 6: Final answer
    x = 574.78

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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.