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Finding the Fourth Proportional to 1,312.63, 1,809.20 and 869.76

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Solution

The fourth proportional to 1,312.63, 1,809.20 and 869.76 is: 1,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.63 : 1,809.20 = 869.76 : x
  2. Step 2: Convert to fraction form
    1,312.63/1,809.20 = 869.76/x
  3. Step 3: Cross multiply
    1,312.63x = 1,809.20 × 869.76
  4. Step 4: Simplify right side
    1,312.63x = 1,573,571.97
  5. Step 5: Solve for x
    x = 1,573,571.97/1,312.63
  6. Step 6: Final answer
    x = 1,198.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.