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Finding the Fourth Proportional to 971.70, 1,456.23 and 483.66

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Solution

The fourth proportional to 971.70, 1,456.23 and 483.66 is: 724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.70 : 1,456.23 = 483.66 : x
  2. Step 2: Convert to fraction form
    971.70/1,456.23 = 483.66/x
  3. Step 3: Cross multiply
    971.70x = 1,456.23 × 483.66
  4. Step 4: Simplify right side
    971.70x = 704,320.20
  5. Step 5: Solve for x
    x = 704,320.20/971.70
  6. Step 6: Final answer
    x = 724.83

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Double scale
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1.5x scale

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.