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Finding the Fourth Proportional to 545.82, 817.20 and 425.49

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Solution

The fourth proportional to 545.82, 817.20 and 425.49 is: 637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.82 : 817.20 = 425.49 : x
  2. Step 2: Convert to fraction form
    545.82/817.20 = 425.49/x
  3. Step 3: Cross multiply
    545.82x = 817.20 × 425.49
  4. Step 4: Simplify right side
    545.82x = 347,710.43
  5. Step 5: Solve for x
    x = 347,710.43/545.82
  6. Step 6: Final answer
    x = 637.04

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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.