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Finding the Fourth Proportional to 1,002.20, 1,382.76 and 686.93

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Solution

The fourth proportional to 1,002.20, 1,382.76 and 686.93 is: 947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.20 : 1,382.76 = 686.93 : x
  2. Step 2: Convert to fraction form
    1,002.20/1,382.76 = 686.93/x
  3. Step 3: Cross multiply
    1,002.20x = 1,382.76 × 686.93
  4. Step 4: Simplify right side
    1,002.20x = 949,852.41
  5. Step 5: Solve for x
    x = 949,852.41/1,002.20
  6. Step 6: Final answer
    x = 947.77

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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.