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Finding the Fourth Proportional to 542.67, 809.43 and 454.98

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Solution

The fourth proportional to 542.67, 809.43 and 454.98 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.67 : 809.43 = 454.98 : x
  2. Step 2: Convert to fraction form
    542.67/809.43 = 454.98/x
  3. Step 3: Cross multiply
    542.67x = 809.43 × 454.98
  4. Step 4: Simplify right side
    542.67x = 368,275.79
  5. Step 5: Solve for x
    x = 368,275.79/542.67
  6. Step 6: Final answer
    x = 678.64

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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.