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Finding the Fourth Proportional to 545.82, 815.16 and 540.18

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Solution

The fourth proportional to 545.82, 815.16 and 540.18 is: 806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.82 : 815.16 = 540.18 : x
  2. Step 2: Convert to fraction form
    545.82/815.16 = 540.18/x
  3. Step 3: Cross multiply
    545.82x = 815.16 × 540.18
  4. Step 4: Simplify right side
    545.82x = 440,333.13
  5. Step 5: Solve for x
    x = 440,333.13/545.82
  6. Step 6: Final answer
    x = 806.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.