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Finding the Fourth Proportional to 1,671.42, 2,306.56 and 925.40

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Solution

The fourth proportional to 1,671.42, 2,306.56 and 925.40 is: 1,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.42 : 2,306.56 = 925.40 : x
  2. Step 2: Convert to fraction form
    1,671.42/2,306.56 = 925.40/x
  3. Step 3: Cross multiply
    1,671.42x = 2,306.56 × 925.40
  4. Step 4: Simplify right side
    1,671.42x = 2,134,490.62
  5. Step 5: Solve for x
    x = 2,134,490.62/1,671.42
  6. Step 6: Final answer
    x = 1,277.05

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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.