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Finding the Fourth Proportional to 672.84, 1,002.65 and 650.82

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Solution

The fourth proportional to 672.84, 1,002.65 and 650.82 is: 969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.84 : 1,002.65 = 650.82 : x
  2. Step 2: Convert to fraction form
    672.84/1,002.65 = 650.82/x
  3. Step 3: Cross multiply
    672.84x = 1,002.65 × 650.82
  4. Step 4: Simplify right side
    672.84x = 652,541.42
  5. Step 5: Solve for x
    x = 652,541.42/672.84
  6. Step 6: Final answer
    x = 969.83

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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.