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Finding the Fourth Proportional to 1,002.09, 1,382.90 and 560.03

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Solution

The fourth proportional to 1,002.09, 1,382.90 and 560.03 is: 772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.09 : 1,382.90 = 560.03 : x
  2. Step 2: Convert to fraction form
    1,002.09/1,382.90 = 560.03/x
  3. Step 3: Cross multiply
    1,002.09x = 1,382.90 × 560.03
  4. Step 4: Simplify right side
    1,002.09x = 774,465.49
  5. Step 5: Solve for x
    x = 774,465.49/1,002.09
  6. Step 6: Final answer
    x = 772.85

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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.