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Finding the Fourth Proportional to 1,561.38, 2,342.32 and 521.44

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Solution

The fourth proportional to 1,561.38, 2,342.32 and 521.44 is: 782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.38 : 2,342.32 = 521.44 : x
  2. Step 2: Convert to fraction form
    1,561.38/2,342.32 = 521.44/x
  3. Step 3: Cross multiply
    1,561.38x = 2,342.32 × 521.44
  4. Step 4: Simplify right side
    1,561.38x = 1,221,372.18
  5. Step 5: Solve for x
    x = 1,221,372.18/1,561.38
  6. Step 6: Final answer
    x = 782.24

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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.