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Finding the Fourth Proportional to 952.77, 1,429.06 and 432.62

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Solution

The fourth proportional to 952.77, 1,429.06 and 432.62 is: 648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.77 : 1,429.06 = 432.62 : x
  2. Step 2: Convert to fraction form
    952.77/1,429.06 = 432.62/x
  3. Step 3: Cross multiply
    952.77x = 1,429.06 × 432.62
  4. Step 4: Simplify right side
    952.77x = 618,239.94
  5. Step 5: Solve for x
    x = 618,239.94/952.77
  6. Step 6: Final answer
    x = 648.89

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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.