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Finding the Fourth Proportional to 574.12, 864.61 and 430.84

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Solution

The fourth proportional to 574.12, 864.61 and 430.84 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.12 : 864.61 = 430.84 : x
  2. Step 2: Convert to fraction form
    574.12/864.61 = 430.84/x
  3. Step 3: Cross multiply
    574.12x = 864.61 × 430.84
  4. Step 4: Simplify right side
    574.12x = 372,508.57
  5. Step 5: Solve for x
    x = 372,508.57/574.12
  6. Step 6: Final answer
    x = 648.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.