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Finding the Fourth Proportional to 541.47, 811.07 and 502.55

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Solution

The fourth proportional to 541.47, 811.07 and 502.55 is: 752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.47 : 811.07 = 502.55 : x
  2. Step 2: Convert to fraction form
    541.47/811.07 = 502.55/x
  3. Step 3: Cross multiply
    541.47x = 811.07 × 502.55
  4. Step 4: Simplify right side
    541.47x = 407,604.63
  5. Step 5: Solve for x
    x = 407,604.63/541.47
  6. Step 6: Final answer
    x = 752.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.