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Finding the Fourth Proportional to 1,043.57, 1,440.02 and 571.46

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Solution

The fourth proportional to 1,043.57, 1,440.02 and 571.46 is: 788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.57 : 1,440.02 = 571.46 : x
  2. Step 2: Convert to fraction form
    1,043.57/1,440.02 = 571.46/x
  3. Step 3: Cross multiply
    1,043.57x = 1,440.02 × 571.46
  4. Step 4: Simplify right side
    1,043.57x = 822,916.99
  5. Step 5: Solve for x
    x = 822,916.99/1,043.57
  6. Step 6: Final answer
    x = 788.56

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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.