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Finding the Fourth Proportional to 714.64, 986.24 and 404.12

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Solution

The fourth proportional to 714.64, 986.24 and 404.12 is: 557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.64 : 986.24 = 404.12 : x
  2. Step 2: Convert to fraction form
    714.64/986.24 = 404.12/x
  3. Step 3: Cross multiply
    714.64x = 986.24 × 404.12
  4. Step 4: Simplify right side
    714.64x = 398,559.31
  5. Step 5: Solve for x
    x = 398,559.31/714.64
  6. Step 6: Final answer
    x = 557.71

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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.