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Finding the Fourth Proportional to 543.92, 812.66 and 539.06

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Solution

The fourth proportional to 543.92, 812.66 and 539.06 is: 805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 812.66 = 539.06 : x
  2. Step 2: Convert to fraction form
    543.92/812.66 = 539.06/x
  3. Step 3: Cross multiply
    543.92x = 812.66 × 539.06
  4. Step 4: Simplify right side
    543.92x = 438,065.74
  5. Step 5: Solve for x
    x = 438,065.74/543.92
  6. Step 6: Final answer
    x = 805.39

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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.