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Finding the Fourth Proportional to 714.72, 985.84 and 600.88

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Solution

The fourth proportional to 714.72, 985.84 and 600.88 is: 828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.72 : 985.84 = 600.88 : x
  2. Step 2: Convert to fraction form
    714.72/985.84 = 600.88/x
  3. Step 3: Cross multiply
    714.72x = 985.84 × 600.88
  4. Step 4: Simplify right side
    714.72x = 592,371.54
  5. Step 5: Solve for x
    x = 592,371.54/714.72
  6. Step 6: Final answer
    x = 828.82

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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.