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Finding the Fourth Proportional to 1,414.98, 1,952.67 and 785.61

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Solution

The fourth proportional to 1,414.98, 1,952.67 and 785.61 is: 1,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.98 : 1,952.67 = 785.61 : x
  2. Step 2: Convert to fraction form
    1,414.98/1,952.67 = 785.61/x
  3. Step 3: Cross multiply
    1,414.98x = 1,952.67 × 785.61
  4. Step 4: Simplify right side
    1,414.98x = 1,534,037.08
  5. Step 5: Solve for x
    x = 1,534,037.08/1,414.98
  6. Step 6: Final answer
    x = 1,084.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.