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Finding the Fourth Proportional to 952.59, 1,429.71 and 433.38

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Solution

The fourth proportional to 952.59, 1,429.71 and 433.38 is: 650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.59 : 1,429.71 = 433.38 : x
  2. Step 2: Convert to fraction form
    952.59/1,429.71 = 433.38/x
  3. Step 3: Cross multiply
    952.59x = 1,429.71 × 433.38
  4. Step 4: Simplify right side
    952.59x = 619,607.72
  5. Step 5: Solve for x
    x = 619,607.72/952.59
  6. Step 6: Final answer
    x = 650.45

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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.