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Finding the Fourth Proportional to 933.06, 1,287.49 and 560.05

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Solution

The fourth proportional to 933.06, 1,287.49 and 560.05 is: 772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.06 : 1,287.49 = 560.05 : x
  2. Step 2: Convert to fraction form
    933.06/1,287.49 = 560.05/x
  3. Step 3: Cross multiply
    933.06x = 1,287.49 × 560.05
  4. Step 4: Simplify right side
    933.06x = 721,058.77
  5. Step 5: Solve for x
    x = 721,058.77/933.06
  6. Step 6: Final answer
    x = 772.79

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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.