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Finding the Fourth Proportional to 971.13, 1,456.39 and 385.90

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Solution

The fourth proportional to 971.13, 1,456.39 and 385.90 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.13 : 1,456.39 = 385.90 : x
  2. Step 2: Convert to fraction form
    971.13/1,456.39 = 385.90/x
  3. Step 3: Cross multiply
    971.13x = 1,456.39 × 385.90
  4. Step 4: Simplify right side
    971.13x = 562,020.90
  5. Step 5: Solve for x
    x = 562,020.90/971.13
  6. Step 6: Final answer
    x = 578.73

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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.