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Finding the Fourth Proportional to 838.41, 1,158.17 and 797.40

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Solution

The fourth proportional to 838.41, 1,158.17 and 797.40 is: 1,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.41 : 1,158.17 = 797.40 : x
  2. Step 2: Convert to fraction form
    838.41/1,158.17 = 797.40/x
  3. Step 3: Cross multiply
    838.41x = 1,158.17 × 797.40
  4. Step 4: Simplify right side
    838.41x = 923,525.21
  5. Step 5: Solve for x
    x = 923,525.21/838.41
  6. Step 6: Final answer
    x = 1,101.52

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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.