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Finding the Fourth Proportional to 545.76, 814.32 and 483.84

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Solution

The fourth proportional to 545.76, 814.32 and 483.84 is: 721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 814.32 = 483.84 : x
  2. Step 2: Convert to fraction form
    545.76/814.32 = 483.84/x
  3. Step 3: Cross multiply
    545.76x = 814.32 × 483.84
  4. Step 4: Simplify right side
    545.76x = 394,000.59
  5. Step 5: Solve for x
    x = 394,000.59/545.76
  6. Step 6: Final answer
    x = 721.93

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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.