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Finding the Fourth Proportional to 545.66, 814.86 and 517.58

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Solution

The fourth proportional to 545.66, 814.86 and 517.58 is: 772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.66 : 814.86 = 517.58 : x
  2. Step 2: Convert to fraction form
    545.66/814.86 = 517.58/x
  3. Step 3: Cross multiply
    545.66x = 814.86 × 517.58
  4. Step 4: Simplify right side
    545.66x = 421,755.24
  5. Step 5: Solve for x
    x = 421,755.24/545.66
  6. Step 6: Final answer
    x = 772.93

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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.