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Finding the Fourth Proportional to 933.08, 1,397.28 and 689.78

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Solution

The fourth proportional to 933.08, 1,397.28 and 689.78 is: 1,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.08 : 1,397.28 = 689.78 : x
  2. Step 2: Convert to fraction form
    933.08/1,397.28 = 689.78/x
  3. Step 3: Cross multiply
    933.08x = 1,397.28 × 689.78
  4. Step 4: Simplify right side
    933.08x = 963,815.80
  5. Step 5: Solve for x
    x = 963,815.80/933.08
  6. Step 6: Final answer
    x = 1,032.94

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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.