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Finding the Fourth Proportional to 964.40, 1,448.22 and 915.08

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Solution

The fourth proportional to 964.40, 1,448.22 and 915.08 is: 1,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.40 : 1,448.22 = 915.08 : x
  2. Step 2: Convert to fraction form
    964.40/1,448.22 = 915.08/x
  3. Step 3: Cross multiply
    964.40x = 1,448.22 × 915.08
  4. Step 4: Simplify right side
    964.40x = 1,325,229.92
  5. Step 5: Solve for x
    x = 1,325,229.92/964.40
  6. Step 6: Final answer
    x = 1,374.16

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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.