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Finding the Fourth Proportional to 1,033.05, 1,425.62 and 560.95

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Solution

The fourth proportional to 1,033.05, 1,425.62 and 560.95 is: 774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.05 : 1,425.62 = 560.95 : x
  2. Step 2: Convert to fraction form
    1,033.05/1,425.62 = 560.95/x
  3. Step 3: Cross multiply
    1,033.05x = 1,425.62 × 560.95
  4. Step 4: Simplify right side
    1,033.05x = 799,697.27
  5. Step 5: Solve for x
    x = 799,697.27/1,033.05
  6. Step 6: Final answer
    x = 774.12

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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.