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Finding the Fourth Proportional to 971.91, 1,458.32 and 485.28

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Solution

The fourth proportional to 971.91, 1,458.32 and 485.28 is: 728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.91 : 1,458.32 = 485.28 : x
  2. Step 2: Convert to fraction form
    971.91/1,458.32 = 485.28/x
  3. Step 3: Cross multiply
    971.91x = 1,458.32 × 485.28
  4. Step 4: Simplify right side
    971.91x = 707,691.10
  5. Step 5: Solve for x
    x = 707,691.10/971.91
  6. Step 6: Final answer
    x = 728.14

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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.