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Finding the Fourth Proportional to 515.16, 710.29 and 415.68

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Solution

The fourth proportional to 515.16, 710.29 and 415.68 is: 573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.16 : 710.29 = 415.68 : x
  2. Step 2: Convert to fraction form
    515.16/710.29 = 415.68/x
  3. Step 3: Cross multiply
    515.16x = 710.29 × 415.68
  4. Step 4: Simplify right side
    515.16x = 295,253.35
  5. Step 5: Solve for x
    x = 295,253.35/515.16
  6. Step 6: Final answer
    x = 573.13

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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.