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Finding the Fourth Proportional to 971.65, 1,456.39 and 582.18

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Solution

The fourth proportional to 971.65, 1,456.39 and 582.18 is: 872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.65 : 1,456.39 = 582.18 : x
  2. Step 2: Convert to fraction form
    971.65/1,456.39 = 582.18/x
  3. Step 3: Cross multiply
    971.65x = 1,456.39 × 582.18
  4. Step 4: Simplify right side
    971.65x = 847,881.13
  5. Step 5: Solve for x
    x = 847,881.13/971.65
  6. Step 6: Final answer
    x = 872.62

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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.