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Finding the Fourth Proportional to 1,246.68, 1,870.31 and 380.98

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Solution

The fourth proportional to 1,246.68, 1,870.31 and 380.98 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.68 : 1,870.31 = 380.98 : x
  2. Step 2: Convert to fraction form
    1,246.68/1,870.31 = 380.98/x
  3. Step 3: Cross multiply
    1,246.68x = 1,870.31 × 380.98
  4. Step 4: Simplify right side
    1,246.68x = 712,550.70
  5. Step 5: Solve for x
    x = 712,550.70/1,246.68
  6. Step 6: Final answer
    x = 571.56

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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.