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Finding the Fourth Proportional to 515.31, 711.86 and 415.58

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Solution

The fourth proportional to 515.31, 711.86 and 415.58 is: 574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.31 : 711.86 = 415.58 : x
  2. Step 2: Convert to fraction form
    515.31/711.86 = 415.58/x
  3. Step 3: Cross multiply
    515.31x = 711.86 × 415.58
  4. Step 4: Simplify right side
    515.31x = 295,829.14
  5. Step 5: Solve for x
    x = 295,829.14/515.31
  6. Step 6: Final answer
    x = 574.08

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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.