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Finding the Fourth Proportional to 714.27, 1,071.42 and 425.50

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Solution

The fourth proportional to 714.27, 1,071.42 and 425.50 is: 638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.27 : 1,071.42 = 425.50 : x
  2. Step 2: Convert to fraction form
    714.27/1,071.42 = 425.50/x
  3. Step 3: Cross multiply
    714.27x = 1,071.42 × 425.50
  4. Step 4: Simplify right side
    714.27x = 455,889.21
  5. Step 5: Solve for x
    x = 455,889.21/714.27
  6. Step 6: Final answer
    x = 638.26

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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.