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Finding the Fourth Proportional to 694.47, 957.65 and 537.13

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Solution

The fourth proportional to 694.47, 957.65 and 537.13 is: 740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.47 : 957.65 = 537.13 : x
  2. Step 2: Convert to fraction form
    694.47/957.65 = 537.13/x
  3. Step 3: Cross multiply
    694.47x = 957.65 × 537.13
  4. Step 4: Simplify right side
    694.47x = 514,385.08
  5. Step 5: Solve for x
    x = 514,385.08/694.47
  6. Step 6: Final answer
    x = 740.68

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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.