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Finding the Fourth Proportional to 545.94, 814.05 and 538.65

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Solution

The fourth proportional to 545.94, 814.05 and 538.65 is: 803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.94 : 814.05 = 538.65 : x
  2. Step 2: Convert to fraction form
    545.94/814.05 = 538.65/x
  3. Step 3: Cross multiply
    545.94x = 814.05 × 538.65
  4. Step 4: Simplify right side
    545.94x = 438,488.03
  5. Step 5: Solve for x
    x = 438,488.03/545.94
  6. Step 6: Final answer
    x = 803.18

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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.