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Finding the Fourth Proportional to 1,043.78, 1,440.33 and 571.57

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Solution

The fourth proportional to 1,043.78, 1,440.33 and 571.57 is: 788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.78 : 1,440.33 = 571.57 : x
  2. Step 2: Convert to fraction form
    1,043.78/1,440.33 = 571.57/x
  3. Step 3: Cross multiply
    1,043.78x = 1,440.33 × 571.57
  4. Step 4: Simplify right side
    1,043.78x = 823,242.22
  5. Step 5: Solve for x
    x = 823,242.22/1,043.78
  6. Step 6: Final answer
    x = 788.72

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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.