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Finding the Fourth Proportional to 714.02, 1,071.21 and 701.78

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Solution

The fourth proportional to 714.02, 1,071.21 and 701.78 is: 1,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 1,071.21 = 701.78 : x
  2. Step 2: Convert to fraction form
    714.02/1,071.21 = 701.78/x
  3. Step 3: Cross multiply
    714.02x = 1,071.21 × 701.78
  4. Step 4: Simplify right side
    714.02x = 751,753.75
  5. Step 5: Solve for x
    x = 751,753.75/714.02
  6. Step 6: Final answer
    x = 1,052.85

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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.