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Finding the Fourth Proportional to 949.59, 1,423.71 and 462.33

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Solution

The fourth proportional to 949.59, 1,423.71 and 462.33 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.59 : 1,423.71 = 462.33 : x
  2. Step 2: Convert to fraction form
    949.59/1,423.71 = 462.33/x
  3. Step 3: Cross multiply
    949.59x = 1,423.71 × 462.33
  4. Step 4: Simplify right side
    949.59x = 658,223.84
  5. Step 5: Solve for x
    x = 658,223.84/949.59
  6. Step 6: Final answer
    x = 693.17

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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.