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Finding the Fourth Proportional to 819.74, 1,130.64 and 571.11

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Solution

The fourth proportional to 819.74, 1,130.64 and 571.11 is: 787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.74 : 1,130.64 = 571.11 : x
  2. Step 2: Convert to fraction form
    819.74/1,130.64 = 571.11/x
  3. Step 3: Cross multiply
    819.74x = 1,130.64 × 571.11
  4. Step 4: Simplify right side
    819.74x = 645,719.81
  5. Step 5: Solve for x
    x = 645,719.81/819.74
  6. Step 6: Final answer
    x = 787.72

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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.