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Finding the Fourth Proportional to 562.80, 842.96 and 453.98

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Solution

The fourth proportional to 562.80, 842.96 and 453.98 is: 679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.80 : 842.96 = 453.98 : x
  2. Step 2: Convert to fraction form
    562.80/842.96 = 453.98/x
  3. Step 3: Cross multiply
    562.80x = 842.96 × 453.98
  4. Step 4: Simplify right side
    562.80x = 382,686.98
  5. Step 5: Solve for x
    x = 382,686.98/562.80
  6. Step 6: Final answer
    x = 679.97

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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.