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Finding the Fourth Proportional to 714.06, 990.41 and 684.90

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Solution

The fourth proportional to 714.06, 990.41 and 684.90 is: 949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 990.41 = 684.90 : x
  2. Step 2: Convert to fraction form
    714.06/990.41 = 684.90/x
  3. Step 3: Cross multiply
    714.06x = 990.41 × 684.90
  4. Step 4: Simplify right side
    714.06x = 678,328.38
  5. Step 5: Solve for x
    x = 678,328.38/714.06
  6. Step 6: Final answer
    x = 949.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.