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Finding the Fourth Proportional to 545.22, 813.05 and 540.60

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Solution

The fourth proportional to 545.22, 813.05 and 540.60 is: 806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.22 : 813.05 = 540.60 : x
  2. Step 2: Convert to fraction form
    545.22/813.05 = 540.60/x
  3. Step 3: Cross multiply
    545.22x = 813.05 × 540.60
  4. Step 4: Simplify right side
    545.22x = 439,532.13
  5. Step 5: Solve for x
    x = 439,532.13/545.22
  6. Step 6: Final answer
    x = 806.16

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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.