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Finding the Fourth Proportional to 1,317.04, 1,816.80 and 819.76

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Solution

The fourth proportional to 1,317.04, 1,816.80 and 819.76 is: 1,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.04 : 1,816.80 = 819.76 : x
  2. Step 2: Convert to fraction form
    1,317.04/1,816.80 = 819.76/x
  3. Step 3: Cross multiply
    1,317.04x = 1,816.80 × 819.76
  4. Step 4: Simplify right side
    1,317.04x = 1,489,339.97
  5. Step 5: Solve for x
    x = 1,489,339.97/1,317.04
  6. Step 6: Final answer
    x = 1,130.82

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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.