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Finding the Fourth Proportional to 1,134.68, 1,563.71 and 819.32

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Solution

The fourth proportional to 1,134.68, 1,563.71 and 819.32 is: 1,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.68 : 1,563.71 = 819.32 : x
  2. Step 2: Convert to fraction form
    1,134.68/1,563.71 = 819.32/x
  3. Step 3: Cross multiply
    1,134.68x = 1,563.71 × 819.32
  4. Step 4: Simplify right side
    1,134.68x = 1,281,166.96
  5. Step 5: Solve for x
    x = 1,281,166.96/1,134.68
  6. Step 6: Final answer
    x = 1,129.10

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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.