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Finding the Fourth Proportional to 575.48, 862.41 and 460.19

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Solution

The fourth proportional to 575.48, 862.41 and 460.19 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.48 : 862.41 = 460.19 : x
  2. Step 2: Convert to fraction form
    575.48/862.41 = 460.19/x
  3. Step 3: Cross multiply
    575.48x = 862.41 × 460.19
  4. Step 4: Simplify right side
    575.48x = 396,872.46
  5. Step 5: Solve for x
    x = 396,872.46/575.48
  6. Step 6: Final answer
    x = 689.64

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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.