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Finding the Fourth Proportional to 542.44, 808.88 and 477.76

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Solution

The fourth proportional to 542.44, 808.88 and 477.76 is: 712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 808.88 = 477.76 : x
  2. Step 2: Convert to fraction form
    542.44/808.88 = 477.76/x
  3. Step 3: Cross multiply
    542.44x = 808.88 × 477.76
  4. Step 4: Simplify right side
    542.44x = 386,450.51
  5. Step 5: Solve for x
    x = 386,450.51/542.44
  6. Step 6: Final answer
    x = 712.43

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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.