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Finding the Fourth Proportional to 545.64, 817.64 and 408.02

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Solution

The fourth proportional to 545.64, 817.64 and 408.02 is: 611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.64 : 817.64 = 408.02 : x
  2. Step 2: Convert to fraction form
    545.64/817.64 = 408.02/x
  3. Step 3: Cross multiply
    545.64x = 817.64 × 408.02
  4. Step 4: Simplify right side
    545.64x = 333,613.47
  5. Step 5: Solve for x
    x = 333,613.47/545.64
  6. Step 6: Final answer
    x = 611.42

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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.