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Finding the Fourth Proportional to 971.25, 1,456.89 and 539.32

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Solution

The fourth proportional to 971.25, 1,456.89 and 539.32 is: 808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.25 : 1,456.89 = 539.32 : x
  2. Step 2: Convert to fraction form
    971.25/1,456.89 = 539.32/x
  3. Step 3: Cross multiply
    971.25x = 1,456.89 × 539.32
  4. Step 4: Simplify right side
    971.25x = 785,719.93
  5. Step 5: Solve for x
    x = 785,719.93/971.25
  6. Step 6: Final answer
    x = 808.98

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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.