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Finding the Fourth Proportional to 837.70, 1,156.17 and 488.56

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Solution

The fourth proportional to 837.70, 1,156.17 and 488.56 is: 674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.70 : 1,156.17 = 488.56 : x
  2. Step 2: Convert to fraction form
    837.70/1,156.17 = 488.56/x
  3. Step 3: Cross multiply
    837.70x = 1,156.17 × 488.56
  4. Step 4: Simplify right side
    837.70x = 564,858.42
  5. Step 5: Solve for x
    x = 564,858.42/837.70
  6. Step 6: Final answer
    x = 674.30

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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.