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Finding the Fourth Proportional to 672.50, 1,002.38 and 647.60

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Solution

The fourth proportional to 672.50, 1,002.38 and 647.60 is: 965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.50 : 1,002.38 = 647.60 : x
  2. Step 2: Convert to fraction form
    672.50/1,002.38 = 647.60/x
  3. Step 3: Cross multiply
    672.50x = 1,002.38 × 647.60
  4. Step 4: Simplify right side
    672.50x = 649,133.04
  5. Step 5: Solve for x
    x = 649,133.04/672.50
  6. Step 6: Final answer
    x = 965.25

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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.