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Finding the Fourth Proportional to 545.12, 812.16 and 539.76

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Solution

The fourth proportional to 545.12, 812.16 and 539.76 is: 804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.12 : 812.16 = 539.76 : x
  2. Step 2: Convert to fraction form
    545.12/812.16 = 539.76/x
  3. Step 3: Cross multiply
    545.12x = 812.16 × 539.76
  4. Step 4: Simplify right side
    545.12x = 438,371.48
  5. Step 5: Solve for x
    x = 438,371.48/545.12
  6. Step 6: Final answer
    x = 804.17

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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.