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Finding the Fourth Proportional to 971.44, 1,455.34 and 483.92

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Solution

The fourth proportional to 971.44, 1,455.34 and 483.92 is: 724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.44 : 1,455.34 = 483.92 : x
  2. Step 2: Convert to fraction form
    971.44/1,455.34 = 483.92/x
  3. Step 3: Cross multiply
    971.44x = 1,455.34 × 483.92
  4. Step 4: Simplify right side
    971.44x = 704,268.13
  5. Step 5: Solve for x
    x = 704,268.13/971.44
  6. Step 6: Final answer
    x = 724.97

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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.