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Finding the Fourth Proportional to 1,141.78, 1,711.62 and 556.45

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Solution

The fourth proportional to 1,141.78, 1,711.62 and 556.45 is: 834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.78 : 1,711.62 = 556.45 : x
  2. Step 2: Convert to fraction form
    1,141.78/1,711.62 = 556.45/x
  3. Step 3: Cross multiply
    1,141.78x = 1,711.62 × 556.45
  4. Step 4: Simplify right side
    1,141.78x = 952,430.95
  5. Step 5: Solve for x
    x = 952,430.95/1,141.78
  6. Step 6: Final answer
    x = 834.16

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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.