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Finding the Fourth Proportional to 1,569.16, 2,352.21 and 581.69

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Solution

The fourth proportional to 1,569.16, 2,352.21 and 581.69 is: 871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.16 : 2,352.21 = 581.69 : x
  2. Step 2: Convert to fraction form
    1,569.16/2,352.21 = 581.69/x
  3. Step 3: Cross multiply
    1,569.16x = 2,352.21 × 581.69
  4. Step 4: Simplify right side
    1,569.16x = 1,368,257.03
  5. Step 5: Solve for x
    x = 1,368,257.03/1,569.16
  6. Step 6: Final answer
    x = 871.97

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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.