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Finding the Fourth Proportional to 542.92, 809.80 and 455.23

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Solution

The fourth proportional to 542.92, 809.80 and 455.23 is: 679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.92 : 809.80 = 455.23 : x
  2. Step 2: Convert to fraction form
    542.92/809.80 = 455.23/x
  3. Step 3: Cross multiply
    542.92x = 809.80 × 455.23
  4. Step 4: Simplify right side
    542.92x = 368,645.25
  5. Step 5: Solve for x
    x = 368,645.25/542.92
  6. Step 6: Final answer
    x = 679.00

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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.