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Finding the Fourth Proportional to 562.67, 842.53 and 452.40

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Solution

The fourth proportional to 562.67, 842.53 and 452.40 is: 677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.67 : 842.53 = 452.40 : x
  2. Step 2: Convert to fraction form
    562.67/842.53 = 452.40/x
  3. Step 3: Cross multiply
    562.67x = 842.53 × 452.40
  4. Step 4: Simplify right side
    562.67x = 381,156.36
  5. Step 5: Solve for x
    x = 381,156.36/562.67
  6. Step 6: Final answer
    x = 677.41

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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.