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Finding the Fourth Proportional to 691.37, 1,037.06 and 474.29

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Solution

The fourth proportional to 691.37, 1,037.06 and 474.29 is: 711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.37 : 1,037.06 = 474.29 : x
  2. Step 2: Convert to fraction form
    691.37/1,037.06 = 474.29/x
  3. Step 3: Cross multiply
    691.37x = 1,037.06 × 474.29
  4. Step 4: Simplify right side
    691.37x = 491,867.19
  5. Step 5: Solve for x
    x = 491,867.19/691.37
  6. Step 6: Final answer
    x = 711.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.