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Finding the Fourth Proportional to 575.93, 861.47 and 391.25

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Solution

The fourth proportional to 575.93, 861.47 and 391.25 is: 585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.93 : 861.47 = 391.25 : x
  2. Step 2: Convert to fraction form
    575.93/861.47 = 391.25/x
  3. Step 3: Cross multiply
    575.93x = 861.47 × 391.25
  4. Step 4: Simplify right side
    575.93x = 337,051.80
  5. Step 5: Solve for x
    x = 337,051.80/575.93
  6. Step 6: Final answer
    x = 585.23

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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.