Home / 1,337.14-2,006.46-459.90

Finding the Fourth Proportional to 1,337.14, 2,006.46 and 459.90

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Solution

The fourth proportional to 1,337.14, 2,006.46 and 459.90 is: 690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.14 : 2,006.46 = 459.90 : x
  2. Step 2: Convert to fraction form
    1,337.14/2,006.46 = 459.90/x
  3. Step 3: Cross multiply
    1,337.14x = 2,006.46 × 459.90
  4. Step 4: Simplify right side
    1,337.14x = 922,770.95
  5. Step 5: Solve for x
    x = 922,770.95/1,337.14
  6. Step 6: Final answer
    x = 690.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.