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Finding the Fourth Proportional to 543.82, 812.15 and 538.15

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Solution

The fourth proportional to 543.82, 812.15 and 538.15 is: 803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.82 : 812.15 = 538.15 : x
  2. Step 2: Convert to fraction form
    543.82/812.15 = 538.15/x
  3. Step 3: Cross multiply
    543.82x = 812.15 × 538.15
  4. Step 4: Simplify right side
    543.82x = 437,058.52
  5. Step 5: Solve for x
    x = 437,058.52/543.82
  6. Step 6: Final answer
    x = 803.68

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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.