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Finding the Fourth Proportional to 545.24, 812.67 and 514.49

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Solution

The fourth proportional to 545.24, 812.67 and 514.49 is: 766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.24 : 812.67 = 514.49 : x
  2. Step 2: Convert to fraction form
    545.24/812.67 = 514.49/x
  3. Step 3: Cross multiply
    545.24x = 812.67 × 514.49
  4. Step 4: Simplify right side
    545.24x = 418,106.52
  5. Step 5: Solve for x
    x = 418,106.52/545.24
  6. Step 6: Final answer
    x = 766.84

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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.