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Finding the Fourth Proportional to 933.07, 1,287.75 and 560.24

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Solution

The fourth proportional to 933.07, 1,287.75 and 560.24 is: 773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.07 : 1,287.75 = 560.24 : x
  2. Step 2: Convert to fraction form
    933.07/1,287.75 = 560.24/x
  3. Step 3: Cross multiply
    933.07x = 1,287.75 × 560.24
  4. Step 4: Simplify right side
    933.07x = 721,449.06
  5. Step 5: Solve for x
    x = 721,449.06/933.07
  6. Step 6: Final answer
    x = 773.20

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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.