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Finding the Fourth Proportional to 691.50, 1,037.80 and 403.14

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Solution

The fourth proportional to 691.50, 1,037.80 and 403.14 is: 605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 1,037.80 = 403.14 : x
  2. Step 2: Convert to fraction form
    691.50/1,037.80 = 403.14/x
  3. Step 3: Cross multiply
    691.50x = 1,037.80 × 403.14
  4. Step 4: Simplify right side
    691.50x = 418,378.69
  5. Step 5: Solve for x
    x = 418,378.69/691.50
  6. Step 6: Final answer
    x = 605.03

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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.