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Finding the Fourth Proportional to 575.24, 861.42 and 454.16

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Solution

The fourth proportional to 575.24, 861.42 and 454.16 is: 680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.24 : 861.42 = 454.16 : x
  2. Step 2: Convert to fraction form
    575.24/861.42 = 454.16/x
  3. Step 3: Cross multiply
    575.24x = 861.42 × 454.16
  4. Step 4: Simplify right side
    575.24x = 391,222.51
  5. Step 5: Solve for x
    x = 391,222.51/575.24
  6. Step 6: Final answer
    x = 680.10

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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.