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Finding the Fourth Proportional to 545.53, 814.43 and 463.54

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Solution

The fourth proportional to 545.53, 814.43 and 463.54 is: 692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.53 : 814.43 = 463.54 : x
  2. Step 2: Convert to fraction form
    545.53/814.43 = 463.54/x
  3. Step 3: Cross multiply
    545.53x = 814.43 × 463.54
  4. Step 4: Simplify right side
    545.53x = 377,520.88
  5. Step 5: Solve for x
    x = 377,520.88/545.53
  6. Step 6: Final answer
    x = 692.03

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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.