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Finding the Fourth Proportional to 2,306.53, 3,458.40 and 920.08

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Solution

The fourth proportional to 2,306.53, 3,458.40 and 920.08 is: 1,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.53 : 3,458.40 = 920.08 : x
  2. Step 2: Convert to fraction form
    2,306.53/3,458.40 = 920.08/x
  3. Step 3: Cross multiply
    2,306.53x = 3,458.40 × 920.08
  4. Step 4: Simplify right side
    2,306.53x = 3,182,004.67
  5. Step 5: Solve for x
    x = 3,182,004.67/2,306.53
  6. Step 6: Final answer
    x = 1,379.56

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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.