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Finding the Fourth Proportional to 691.80, 1,037.34 and 431.16

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Solution

The fourth proportional to 691.80, 1,037.34 and 431.16 is: 646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.80 : 1,037.34 = 431.16 : x
  2. Step 2: Convert to fraction form
    691.80/1,037.34 = 431.16/x
  3. Step 3: Cross multiply
    691.80x = 1,037.34 × 431.16
  4. Step 4: Simplify right side
    691.80x = 447,259.51
  5. Step 5: Solve for x
    x = 447,259.51/691.80
  6. Step 6: Final answer
    x = 646.52

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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.