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Finding the Fourth Proportional to 691.16, 1,037.50 and 383.60

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Solution

The fourth proportional to 691.16, 1,037.50 and 383.60 is: 575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.16 : 1,037.50 = 383.60 : x
  2. Step 2: Convert to fraction form
    691.16/1,037.50 = 383.60/x
  3. Step 3: Cross multiply
    691.16x = 1,037.50 × 383.60
  4. Step 4: Simplify right side
    691.16x = 397,986.63
  5. Step 5: Solve for x
    x = 397,986.63/691.16
  6. Step 6: Final answer
    x = 575.83

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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.