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Finding the Fourth Proportional to 1,246.86, 1,869.56 and 515.56

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Solution

The fourth proportional to 1,246.86, 1,869.56 and 515.56 is: 773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.86 : 1,869.56 = 515.56 : x
  2. Step 2: Convert to fraction form
    1,246.86/1,869.56 = 515.56/x
  3. Step 3: Cross multiply
    1,246.86x = 1,869.56 × 515.56
  4. Step 4: Simplify right side
    1,246.86x = 963,870.35
  5. Step 5: Solve for x
    x = 963,870.35/1,246.86
  6. Step 6: Final answer
    x = 773.04

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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.