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Finding the Fourth Proportional to 952.67, 1,429.47 and 643.84

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Solution

The fourth proportional to 952.67, 1,429.47 and 643.84 is: 966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.67 : 1,429.47 = 643.84 : x
  2. Step 2: Convert to fraction form
    952.67/1,429.47 = 643.84/x
  3. Step 3: Cross multiply
    952.67x = 1,429.47 × 643.84
  4. Step 4: Simplify right side
    952.67x = 920,349.96
  5. Step 5: Solve for x
    x = 920,349.96/952.67
  6. Step 6: Final answer
    x = 966.07

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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.