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Finding the Fourth Proportional to 671.73, 1,002.62 and 655.35

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Solution

The fourth proportional to 671.73, 1,002.62 and 655.35 is: 978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.73 : 1,002.62 = 655.35 : x
  2. Step 2: Convert to fraction form
    671.73/1,002.62 = 655.35/x
  3. Step 3: Cross multiply
    671.73x = 1,002.62 × 655.35
  4. Step 4: Simplify right side
    671.73x = 657,063.74
  5. Step 5: Solve for x
    x = 657,063.74/671.73
  6. Step 6: Final answer
    x = 978.17

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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.