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Finding the Fourth Proportional to 962.97, 1,330.07 and 838.23

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Solution

The fourth proportional to 962.97, 1,330.07 and 838.23 is: 1,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.97 : 1,330.07 = 838.23 : x
  2. Step 2: Convert to fraction form
    962.97/1,330.07 = 838.23/x
  3. Step 3: Cross multiply
    962.97x = 1,330.07 × 838.23
  4. Step 4: Simplify right side
    962.97x = 1,114,900.38
  5. Step 5: Solve for x
    x = 1,114,900.38/962.97
  6. Step 6: Final answer
    x = 1,157.77

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1.5x scale

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.