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Finding the Fourth Proportional to 964.71, 1,439.78 and 958.33

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Solution

The fourth proportional to 964.71, 1,439.78 and 958.33 is: 1,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.71 : 1,439.78 = 958.33 : x
  2. Step 2: Convert to fraction form
    964.71/1,439.78 = 958.33/x
  3. Step 3: Cross multiply
    964.71x = 1,439.78 × 958.33
  4. Step 4: Simplify right side
    964.71x = 1,379,781.38
  5. Step 5: Solve for x
    x = 1,379,781.38/964.71
  6. Step 6: Final answer
    x = 1,430.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.