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Finding the Fourth Proportional to 949.15, 1,423.38 and 332.68

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Solution

The fourth proportional to 949.15, 1,423.38 and 332.68 is: 498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.15 : 1,423.38 = 332.68 : x
  2. Step 2: Convert to fraction form
    949.15/1,423.38 = 332.68/x
  3. Step 3: Cross multiply
    949.15x = 1,423.38 × 332.68
  4. Step 4: Simplify right side
    949.15x = 473,530.06
  5. Step 5: Solve for x
    x = 473,530.06/949.15
  6. Step 6: Final answer
    x = 498.90

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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.