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Finding the Fourth Proportional to 545.65, 812.64 and 517.70

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Solution

The fourth proportional to 545.65, 812.64 and 517.70 is: 771.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.65 : 812.64 = 517.70 : x
  2. Step 2: Convert to fraction form
    545.65/812.64 = 517.70/x
  3. Step 3: Cross multiply
    545.65x = 812.64 × 517.70
  4. Step 4: Simplify right side
    545.65x = 420,703.73
  5. Step 5: Solve for x
    x = 420,703.73/545.65
  6. Step 6: Final answer
    x = 771.01

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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.