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Finding the Fourth Proportional to 574.61, 862.35 and 420.94

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Solution

The fourth proportional to 574.61, 862.35 and 420.94 is: 631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.61 : 862.35 = 420.94 : x
  2. Step 2: Convert to fraction form
    574.61/862.35 = 420.94/x
  3. Step 3: Cross multiply
    574.61x = 862.35 × 420.94
  4. Step 4: Simplify right side
    574.61x = 362,998.11
  5. Step 5: Solve for x
    x = 362,998.11/574.61
  6. Step 6: Final answer
    x = 631.73

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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.