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Finding the Fourth Proportional to 434.66, 652.08 and 333.23

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Solution

The fourth proportional to 434.66, 652.08 and 333.23 is: 499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.66 : 652.08 = 333.23 : x
  2. Step 2: Convert to fraction form
    434.66/652.08 = 333.23/x
  3. Step 3: Cross multiply
    434.66x = 652.08 × 333.23
  4. Step 4: Simplify right side
    434.66x = 217,287.69
  5. Step 5: Solve for x
    x = 217,287.69/434.66
  6. Step 6: Final answer
    x = 499.91

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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.