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Finding the Fourth Proportional to 674.60, 1,006.65 and 605.66

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Solution

The fourth proportional to 674.60, 1,006.65 and 605.66 is: 903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.60 : 1,006.65 = 605.66 : x
  2. Step 2: Convert to fraction form
    674.60/1,006.65 = 605.66/x
  3. Step 3: Cross multiply
    674.60x = 1,006.65 × 605.66
  4. Step 4: Simplify right side
    674.60x = 609,682.61
  5. Step 5: Solve for x
    x = 609,682.61/674.60
  6. Step 6: Final answer
    x = 903.78

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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.