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Finding the Fourth Proportional to 674.66, 1,010.91 and 386.30

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Solution

The fourth proportional to 674.66, 1,010.91 and 386.30 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.66 : 1,010.91 = 386.30 : x
  2. Step 2: Convert to fraction form
    674.66/1,010.91 = 386.30/x
  3. Step 3: Cross multiply
    674.66x = 1,010.91 × 386.30
  4. Step 4: Simplify right side
    674.66x = 390,514.53
  5. Step 5: Solve for x
    x = 390,514.53/674.66
  6. Step 6: Final answer
    x = 578.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.