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Finding the Fourth Proportional to 714.42, 1,071.86 and 252.18

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Solution

The fourth proportional to 714.42, 1,071.86 and 252.18 is: 378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 1,071.86 = 252.18 : x
  2. Step 2: Convert to fraction form
    714.42/1,071.86 = 252.18/x
  3. Step 3: Cross multiply
    714.42x = 1,071.86 × 252.18
  4. Step 4: Simplify right side
    714.42x = 270,301.65
  5. Step 5: Solve for x
    x = 270,301.65/714.42
  6. Step 6: Final answer
    x = 378.35

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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.