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Finding the Fourth Proportional to 2,306.21, 3,458.95 and 662.39

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Solution

The fourth proportional to 2,306.21, 3,458.95 and 662.39 is: 993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.21 : 3,458.95 = 662.39 : x
  2. Step 2: Convert to fraction form
    2,306.21/3,458.95 = 662.39/x
  3. Step 3: Cross multiply
    2,306.21x = 3,458.95 × 662.39
  4. Step 4: Simplify right side
    2,306.21x = 2,291,154.94
  5. Step 5: Solve for x
    x = 2,291,154.94/2,306.21
  6. Step 6: Final answer
    x = 993.47

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1.5x scale

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.