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Finding the Fourth Proportional to 545.98, 817.04 and 514.79

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Solution

The fourth proportional to 545.98, 817.04 and 514.79 is: 770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.98 : 817.04 = 514.79 : x
  2. Step 2: Convert to fraction form
    545.98/817.04 = 514.79/x
  3. Step 3: Cross multiply
    545.98x = 817.04 × 514.79
  4. Step 4: Simplify right side
    545.98x = 420,607.35
  5. Step 5: Solve for x
    x = 420,607.35/545.98
  6. Step 6: Final answer
    x = 770.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.