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Finding the Fourth Proportional to 541.47, 747.23 and 328.72

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Solution

The fourth proportional to 541.47, 747.23 and 328.72 is: 453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.47 : 747.23 = 328.72 : x
  2. Step 2: Convert to fraction form
    541.47/747.23 = 328.72/x
  3. Step 3: Cross multiply
    541.47x = 747.23 × 328.72
  4. Step 4: Simplify right side
    541.47x = 245,628.66
  5. Step 5: Solve for x
    x = 245,628.66/541.47
  6. Step 6: Final answer
    x = 453.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.