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Finding the Fourth Proportional to 1,245.86, 1,869.02 and 515.04

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Solution

The fourth proportional to 1,245.86, 1,869.02 and 515.04 is: 772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.86 : 1,869.02 = 515.04 : x
  2. Step 2: Convert to fraction form
    1,245.86/1,869.02 = 515.04/x
  3. Step 3: Cross multiply
    1,245.86x = 1,869.02 × 515.04
  4. Step 4: Simplify right side
    1,245.86x = 962,620.06
  5. Step 5: Solve for x
    x = 962,620.06/1,245.86
  6. Step 6: Final answer
    x = 772.66

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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.