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Finding the Fourth Proportional to 684.52, 1,020.62 and 672.21

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Solution

The fourth proportional to 684.52, 1,020.62 and 672.21 is: 1,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 1,020.62 = 672.21 : x
  2. Step 2: Convert to fraction form
    684.52/1,020.62 = 672.21/x
  3. Step 3: Cross multiply
    684.52x = 1,020.62 × 672.21
  4. Step 4: Simplify right side
    684.52x = 686,070.97
  5. Step 5: Solve for x
    x = 686,070.97/684.52
  6. Step 6: Final answer
    x = 1,002.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.