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Finding the Fourth Proportional to 515.58, 710.75 and 410.71

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Solution

The fourth proportional to 515.58, 710.75 and 410.71 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.58 : 710.75 = 410.71 : x
  2. Step 2: Convert to fraction form
    515.58/710.75 = 410.71/x
  3. Step 3: Cross multiply
    515.58x = 710.75 × 410.71
  4. Step 4: Simplify right side
    515.58x = 291,912.13
  5. Step 5: Solve for x
    x = 291,912.13/515.58
  6. Step 6: Final answer
    x = 566.18

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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.