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Finding the Fourth Proportional to 545.10, 814.02 and 539.43

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Solution

The fourth proportional to 545.10, 814.02 and 539.43 is: 805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.10 : 814.02 = 539.43 : x
  2. Step 2: Convert to fraction form
    545.10/814.02 = 539.43/x
  3. Step 3: Cross multiply
    545.10x = 814.02 × 539.43
  4. Step 4: Simplify right side
    545.10x = 439,106.81
  5. Step 5: Solve for x
    x = 439,106.81/545.10
  6. Step 6: Final answer
    x = 805.55

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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.