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Finding the Fourth Proportional to 575.19, 861.42 and 314.81

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Solution

The fourth proportional to 575.19, 861.42 and 314.81 is: 471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.19 : 861.42 = 314.81 : x
  2. Step 2: Convert to fraction form
    575.19/861.42 = 314.81/x
  3. Step 3: Cross multiply
    575.19x = 861.42 × 314.81
  4. Step 4: Simplify right side
    575.19x = 271,179.32
  5. Step 5: Solve for x
    x = 271,179.32/575.19
  6. Step 6: Final answer
    x = 471.46

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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.