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Finding the Fourth Proportional to 714.83, 986.18 and 494.30

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Solution

The fourth proportional to 714.83, 986.18 and 494.30 is: 681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.83 : 986.18 = 494.30 : x
  2. Step 2: Convert to fraction form
    714.83/986.18 = 494.30/x
  3. Step 3: Cross multiply
    714.83x = 986.18 × 494.30
  4. Step 4: Simplify right side
    714.83x = 487,468.77
  5. Step 5: Solve for x
    x = 487,468.77/714.83
  6. Step 6: Final answer
    x = 681.94

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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.