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Finding the Fourth Proportional to 1,033.50, 1,549.01 and 571.52

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Solution

The fourth proportional to 1,033.50, 1,549.01 and 571.52 is: 856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.50 : 1,549.01 = 571.52 : x
  2. Step 2: Convert to fraction form
    1,033.50/1,549.01 = 571.52/x
  3. Step 3: Cross multiply
    1,033.50x = 1,549.01 × 571.52
  4. Step 4: Simplify right side
    1,033.50x = 885,290.20
  5. Step 5: Solve for x
    x = 885,290.20/1,033.50
  6. Step 6: Final answer
    x = 856.59

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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.