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Finding the Fourth Proportional to 714.11, 1,071.15 and 470.79

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Solution

The fourth proportional to 714.11, 1,071.15 and 470.79 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.11 : 1,071.15 = 470.79 : x
  2. Step 2: Convert to fraction form
    714.11/1,071.15 = 470.79/x
  3. Step 3: Cross multiply
    714.11x = 1,071.15 × 470.79
  4. Step 4: Simplify right side
    714.11x = 504,286.71
  5. Step 5: Solve for x
    x = 504,286.71/714.11
  6. Step 6: Final answer
    x = 706.18

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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.