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Finding the Fourth Proportional to 584.46, 875.34 and 453.78

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Solution

The fourth proportional to 584.46, 875.34 and 453.78 is: 679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.46 : 875.34 = 453.78 : x
  2. Step 2: Convert to fraction form
    584.46/875.34 = 453.78/x
  3. Step 3: Cross multiply
    584.46x = 875.34 × 453.78
  4. Step 4: Simplify right side
    584.46x = 397,211.79
  5. Step 5: Solve for x
    x = 397,211.79/584.46
  6. Step 6: Final answer
    x = 679.62

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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.