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Finding the Fourth Proportional to 673.34, 1,002.65 and 648.74

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Solution

The fourth proportional to 673.34, 1,002.65 and 648.74 is: 966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.34 : 1,002.65 = 648.74 : x
  2. Step 2: Convert to fraction form
    673.34/1,002.65 = 648.74/x
  3. Step 3: Cross multiply
    673.34x = 1,002.65 × 648.74
  4. Step 4: Simplify right side
    673.34x = 650,459.16
  5. Step 5: Solve for x
    x = 650,459.16/673.34
  6. Step 6: Final answer
    x = 966.02

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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.