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Finding the Fourth Proportional to 545.63, 814.05 and 519.54

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Solution

The fourth proportional to 545.63, 814.05 and 519.54 is: 775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.63 : 814.05 = 519.54 : x
  2. Step 2: Convert to fraction form
    545.63/814.05 = 519.54/x
  3. Step 3: Cross multiply
    545.63x = 814.05 × 519.54
  4. Step 4: Simplify right side
    545.63x = 422,931.54
  5. Step 5: Solve for x
    x = 422,931.54/545.63
  6. Step 6: Final answer
    x = 775.13

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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.