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Finding the Fourth Proportional to 1,002.10, 1,382.94 and 560

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Solution

The fourth proportional to 1,002.10, 1,382.94 and 560 is: 772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.10 : 1,382.94 = 560 : x
  2. Step 2: Convert to fraction form
    1,002.10/1,382.94 = 560/x
  3. Step 3: Cross multiply
    1,002.10x = 1,382.94 × 560
  4. Step 4: Simplify right side
    1,002.10x = 774,446.40
  5. Step 5: Solve for x
    x = 774,446.40/1,002.10
  6. Step 6: Final answer
    x = 772.82

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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.