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Finding the Fourth Proportional to 714.46, 986.08 and 415.74

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Solution

The fourth proportional to 714.46, 986.08 and 415.74 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.46 : 986.08 = 415.74 : x
  2. Step 2: Convert to fraction form
    714.46/986.08 = 415.74/x
  3. Step 3: Cross multiply
    714.46x = 986.08 × 415.74
  4. Step 4: Simplify right side
    714.46x = 409,952.90
  5. Step 5: Solve for x
    x = 409,952.90/714.46
  6. Step 6: Final answer
    x = 573.80

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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.