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Finding the Fourth Proportional to 838.53, 1,156.78 and 641.70

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Solution

The fourth proportional to 838.53, 1,156.78 and 641.70 is: 885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.53 : 1,156.78 = 641.70 : x
  2. Step 2: Convert to fraction form
    838.53/1,156.78 = 641.70/x
  3. Step 3: Cross multiply
    838.53x = 1,156.78 × 641.70
  4. Step 4: Simplify right side
    838.53x = 742,305.73
  5. Step 5: Solve for x
    x = 742,305.73/838.53
  6. Step 6: Final answer
    x = 885.25

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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.