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Finding the Fourth Proportional to 1,671.30, 2,306.49 and 925.41

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Solution

The fourth proportional to 1,671.30, 2,306.49 and 925.41 is: 1,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.30 : 2,306.49 = 925.41 : x
  2. Step 2: Convert to fraction form
    1,671.30/2,306.49 = 925.41/x
  3. Step 3: Cross multiply
    1,671.30x = 2,306.49 × 925.41
  4. Step 4: Simplify right side
    1,671.30x = 2,134,448.91
  5. Step 5: Solve for x
    x = 2,134,448.91/1,671.30
  6. Step 6: Final answer
    x = 1,277.12

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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.