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Finding the Fourth Proportional to 1,317.02, 1,818.40 and 819.76

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Solution

The fourth proportional to 1,317.02, 1,818.40 and 819.76 is: 1,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.02 : 1,818.40 = 819.76 : x
  2. Step 2: Convert to fraction form
    1,317.02/1,818.40 = 819.76/x
  3. Step 3: Cross multiply
    1,317.02x = 1,818.40 × 819.76
  4. Step 4: Simplify right side
    1,317.02x = 1,490,651.58
  5. Step 5: Solve for x
    x = 1,490,651.58/1,317.02
  6. Step 6: Final answer
    x = 1,131.84

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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.