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Finding the Fourth Proportional to 1,193.97, 1,792.11 and 578.11

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Solution

The fourth proportional to 1,193.97, 1,792.11 and 578.11 is: 867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.97 : 1,792.11 = 578.11 : x
  2. Step 2: Convert to fraction form
    1,193.97/1,792.11 = 578.11/x
  3. Step 3: Cross multiply
    1,193.97x = 1,792.11 × 578.11
  4. Step 4: Simplify right side
    1,193.97x = 1,036,036.71
  5. Step 5: Solve for x
    x = 1,036,036.71/1,193.97
  6. Step 6: Final answer
    x = 867.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.