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Finding the Fourth Proportional to 617.51, 929.91 and 537.32

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Solution

The fourth proportional to 617.51, 929.91 and 537.32 is: 809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.51 : 929.91 = 537.32 : x
  2. Step 2: Convert to fraction form
    617.51/929.91 = 537.32/x
  3. Step 3: Cross multiply
    617.51x = 929.91 × 537.32
  4. Step 4: Simplify right side
    617.51x = 499,654.59
  5. Step 5: Solve for x
    x = 499,654.59/617.51
  6. Step 6: Final answer
    x = 809.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.