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Finding the Fourth Proportional to 714.70, 1,073.15 and 390.70

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Solution

The fourth proportional to 714.70, 1,073.15 and 390.70 is: 586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.70 : 1,073.15 = 390.70 : x
  2. Step 2: Convert to fraction form
    714.70/1,073.15 = 390.70/x
  3. Step 3: Cross multiply
    714.70x = 1,073.15 × 390.70
  4. Step 4: Simplify right side
    714.70x = 419,279.71
  5. Step 5: Solve for x
    x = 419,279.71/714.70
  6. Step 6: Final answer
    x = 586.65

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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.