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Finding the Fourth Proportional to 545.76, 812.24 and 544.16

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Solution

The fourth proportional to 545.76, 812.24 and 544.16 is: 809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 812.24 = 544.16 : x
  2. Step 2: Convert to fraction form
    545.76/812.24 = 544.16/x
  3. Step 3: Cross multiply
    545.76x = 812.24 × 544.16
  4. Step 4: Simplify right side
    545.76x = 441,988.52
  5. Step 5: Solve for x
    x = 441,988.52/545.76
  6. Step 6: Final answer
    x = 809.86

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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.