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Finding the Fourth Proportional to 933.38, 1,287.43 and 560.06

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Solution

The fourth proportional to 933.38, 1,287.43 and 560.06 is: 772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.38 : 1,287.43 = 560.06 : x
  2. Step 2: Convert to fraction form
    933.38/1,287.43 = 560.06/x
  3. Step 3: Cross multiply
    933.38x = 1,287.43 × 560.06
  4. Step 4: Simplify right side
    933.38x = 721,038.05
  5. Step 5: Solve for x
    x = 721,038.05/933.38
  6. Step 6: Final answer
    x = 772.50

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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.