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Finding the Fourth Proportional to 938.41, 1,294.26 and 875.53

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Solution

The fourth proportional to 938.41, 1,294.26 and 875.53 is: 1,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.41 : 1,294.26 = 875.53 : x
  2. Step 2: Convert to fraction form
    938.41/1,294.26 = 875.53/x
  3. Step 3: Cross multiply
    938.41x = 1,294.26 × 875.53
  4. Step 4: Simplify right side
    938.41x = 1,133,163.46
  5. Step 5: Solve for x
    x = 1,133,163.46/938.41
  6. Step 6: Final answer
    x = 1,207.54

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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.