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Finding the Fourth Proportional to 545.12, 814.23 and 513.53

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Solution

The fourth proportional to 545.12, 814.23 and 513.53 is: 767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.12 : 814.23 = 513.53 : x
  2. Step 2: Convert to fraction form
    545.12/814.23 = 513.53/x
  3. Step 3: Cross multiply
    545.12x = 814.23 × 513.53
  4. Step 4: Simplify right side
    545.12x = 418,131.53
  5. Step 5: Solve for x
    x = 418,131.53/545.12
  6. Step 6: Final answer
    x = 767.04

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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.