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Finding the Fourth Proportional to 962.75, 1,331.30 and 919.19

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Solution

The fourth proportional to 962.75, 1,331.30 and 919.19 is: 1,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.75 : 1,331.30 = 919.19 : x
  2. Step 2: Convert to fraction form
    962.75/1,331.30 = 919.19/x
  3. Step 3: Cross multiply
    962.75x = 1,331.30 × 919.19
  4. Step 4: Simplify right side
    962.75x = 1,223,713.29
  5. Step 5: Solve for x
    x = 1,223,713.29/962.75
  6. Step 6: Final answer
    x = 1,271.07

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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.