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Finding the Fourth Proportional to 964.72, 1,328.93 and 915.31

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Solution

The fourth proportional to 964.72, 1,328.93 and 915.31 is: 1,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.72 : 1,328.93 = 915.31 : x
  2. Step 2: Convert to fraction form
    964.72/1,328.93 = 915.31/x
  3. Step 3: Cross multiply
    964.72x = 1,328.93 × 915.31
  4. Step 4: Simplify right side
    964.72x = 1,216,375.02
  5. Step 5: Solve for x
    x = 1,216,375.02/964.72
  6. Step 6: Final answer
    x = 1,260.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.