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Finding the Fourth Proportional to 714.87, 986.72 and 585.27

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Solution

The fourth proportional to 714.87, 986.72 and 585.27 is: 807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.87 : 986.72 = 585.27 : x
  2. Step 2: Convert to fraction form
    714.87/986.72 = 585.27/x
  3. Step 3: Cross multiply
    714.87x = 986.72 × 585.27
  4. Step 4: Simplify right side
    714.87x = 577,494.69
  5. Step 5: Solve for x
    x = 577,494.69/714.87
  6. Step 6: Final answer
    x = 807.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.