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Finding the Fourth Proportional to 542.54, 809.24 and 454.86

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Solution

The fourth proportional to 542.54, 809.24 and 454.86 is: 678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.54 : 809.24 = 454.86 : x
  2. Step 2: Convert to fraction form
    542.54/809.24 = 454.86/x
  3. Step 3: Cross multiply
    542.54x = 809.24 × 454.86
  4. Step 4: Simplify right side
    542.54x = 368,090.91
  5. Step 5: Solve for x
    x = 368,090.91/542.54
  6. Step 6: Final answer
    x = 678.46

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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.