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Finding the Fourth Proportional to 690.80, 1,037.08 and 593.92

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Solution

The fourth proportional to 690.80, 1,037.08 and 593.92 is: 891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.80 : 1,037.08 = 593.92 : x
  2. Step 2: Convert to fraction form
    690.80/1,037.08 = 593.92/x
  3. Step 3: Cross multiply
    690.80x = 1,037.08 × 593.92
  4. Step 4: Simplify right side
    690.80x = 615,942.55
  5. Step 5: Solve for x
    x = 615,942.55/690.80
  6. Step 6: Final answer
    x = 891.64

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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.