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Finding the Fourth Proportional to 933.78, 1,288.50 and 560.82

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Solution

The fourth proportional to 933.78, 1,288.50 and 560.82 is: 773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.78 : 1,288.50 = 560.82 : x
  2. Step 2: Convert to fraction form
    933.78/1,288.50 = 560.82/x
  3. Step 3: Cross multiply
    933.78x = 1,288.50 × 560.82
  4. Step 4: Simplify right side
    933.78x = 722,616.57
  5. Step 5: Solve for x
    x = 722,616.57/933.78
  6. Step 6: Final answer
    x = 773.86

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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.