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Finding the Fourth Proportional to 1,451.70, 2,177.90 and 425.70

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Solution

The fourth proportional to 1,451.70, 2,177.90 and 425.70 is: 638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.70 : 2,177.90 = 425.70 : x
  2. Step 2: Convert to fraction form
    1,451.70/2,177.90 = 425.70/x
  3. Step 3: Cross multiply
    1,451.70x = 2,177.90 × 425.70
  4. Step 4: Simplify right side
    1,451.70x = 927,132.03
  5. Step 5: Solve for x
    x = 927,132.03/1,451.70
  6. Step 6: Final answer
    x = 638.65

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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.