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Finding the Fourth Proportional to 545.80, 814.49 and 423.40

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Solution

The fourth proportional to 545.80, 814.49 and 423.40 is: 631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 814.49 = 423.40 : x
  2. Step 2: Convert to fraction form
    545.80/814.49 = 423.40/x
  3. Step 3: Cross multiply
    545.80x = 814.49 × 423.40
  4. Step 4: Simplify right side
    545.80x = 344,855.07
  5. Step 5: Solve for x
    x = 344,855.07/545.80
  6. Step 6: Final answer
    x = 631.83

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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.