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Finding the Fourth Proportional to 933.91, 1,288.78 and 514.28

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Solution

The fourth proportional to 933.91, 1,288.78 and 514.28 is: 709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.91 : 1,288.78 = 514.28 : x
  2. Step 2: Convert to fraction form
    933.91/1,288.78 = 514.28/x
  3. Step 3: Cross multiply
    933.91x = 1,288.78 × 514.28
  4. Step 4: Simplify right side
    933.91x = 662,793.78
  5. Step 5: Solve for x
    x = 662,793.78/933.91
  6. Step 6: Final answer
    x = 709.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.