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Finding the Fourth Proportional to 543.46, 809.74 and 541.30

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Solution

The fourth proportional to 543.46, 809.74 and 541.30 is: 806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.46 : 809.74 = 541.30 : x
  2. Step 2: Convert to fraction form
    543.46/809.74 = 541.30/x
  3. Step 3: Cross multiply
    543.46x = 809.74 × 541.30
  4. Step 4: Simplify right side
    543.46x = 438,312.26
  5. Step 5: Solve for x
    x = 438,312.26/543.46
  6. Step 6: Final answer
    x = 806.52

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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.