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Finding the Fourth Proportional to 714.80, 986.90 and 463.19

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Solution

The fourth proportional to 714.80, 986.90 and 463.19 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.80 : 986.90 = 463.19 : x
  2. Step 2: Convert to fraction form
    714.80/986.90 = 463.19/x
  3. Step 3: Cross multiply
    714.80x = 986.90 × 463.19
  4. Step 4: Simplify right side
    714.80x = 457,114.96
  5. Step 5: Solve for x
    x = 457,114.96/714.80
  6. Step 6: Final answer
    x = 639.50

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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.