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Finding the Fourth Proportional to 2,306.40, 3,459.52 and 575.04

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Solution

The fourth proportional to 2,306.40, 3,459.52 and 575.04 is: 862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.40 : 3,459.52 = 575.04 : x
  2. Step 2: Convert to fraction form
    2,306.40/3,459.52 = 575.04/x
  3. Step 3: Cross multiply
    2,306.40x = 3,459.52 × 575.04
  4. Step 4: Simplify right side
    2,306.40x = 1,989,362.38
  5. Step 5: Solve for x
    x = 1,989,362.38/2,306.40
  6. Step 6: Final answer
    x = 862.54

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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.