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Finding the Fourth Proportional to 1,561.71, 2,340.79 and 521.47

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Solution

The fourth proportional to 1,561.71, 2,340.79 and 521.47 is: 781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.71 : 2,340.79 = 521.47 : x
  2. Step 2: Convert to fraction form
    1,561.71/2,340.79 = 521.47/x
  3. Step 3: Cross multiply
    1,561.71x = 2,340.79 × 521.47
  4. Step 4: Simplify right side
    1,561.71x = 1,220,644.61
  5. Step 5: Solve for x
    x = 1,220,644.61/1,561.71
  6. Step 6: Final answer
    x = 781.61

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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.