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Finding the Fourth Proportional to 1,561.49, 2,342.82 and 465.86

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Solution

The fourth proportional to 1,561.49, 2,342.82 and 465.86 is: 698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.49 : 2,342.82 = 465.86 : x
  2. Step 2: Convert to fraction form
    1,561.49/2,342.82 = 465.86/x
  3. Step 3: Cross multiply
    1,561.49x = 2,342.82 × 465.86
  4. Step 4: Simplify right side
    1,561.49x = 1,091,414.41
  5. Step 5: Solve for x
    x = 1,091,414.41/1,561.49
  6. Step 6: Final answer
    x = 698.96

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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.