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Finding the Fourth Proportional to 617.26, 929.54 and 537.07

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Solution

The fourth proportional to 617.26, 929.54 and 537.07 is: 808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.26 : 929.54 = 537.07 : x
  2. Step 2: Convert to fraction form
    617.26/929.54 = 537.07/x
  3. Step 3: Cross multiply
    617.26x = 929.54 × 537.07
  4. Step 4: Simplify right side
    617.26x = 499,226.71
  5. Step 5: Solve for x
    x = 499,226.71/617.26
  6. Step 6: Final answer
    x = 808.78

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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.