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Finding the Fourth Proportional to 714.42, 1,072.54 and 483.87

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Solution

The fourth proportional to 714.42, 1,072.54 and 483.87 is: 726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 1,072.54 = 483.87 : x
  2. Step 2: Convert to fraction form
    714.42/1,072.54 = 483.87/x
  3. Step 3: Cross multiply
    714.42x = 1,072.54 × 483.87
  4. Step 4: Simplify right side
    714.42x = 518,974.56
  5. Step 5: Solve for x
    x = 518,974.56/714.42
  6. Step 6: Final answer
    x = 726.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.