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Finding the Fourth Proportional to 545.18, 817.10 and 398.57

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Solution

The fourth proportional to 545.18, 817.10 and 398.57 is: 597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.18 : 817.10 = 398.57 : x
  2. Step 2: Convert to fraction form
    545.18/817.10 = 398.57/x
  3. Step 3: Cross multiply
    545.18x = 817.10 × 398.57
  4. Step 4: Simplify right side
    545.18x = 325,669.55
  5. Step 5: Solve for x
    x = 325,669.55/545.18
  6. Step 6: Final answer
    x = 597.36

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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.