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Finding the Fourth Proportional to 838.66, 1,156.23 and 688.73

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Solution

The fourth proportional to 838.66, 1,156.23 and 688.73 is: 949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.66 : 1,156.23 = 688.73 : x
  2. Step 2: Convert to fraction form
    838.66/1,156.23 = 688.73/x
  3. Step 3: Cross multiply
    838.66x = 1,156.23 × 688.73
  4. Step 4: Simplify right side
    838.66x = 796,330.29
  5. Step 5: Solve for x
    x = 796,330.29/838.66
  6. Step 6: Final answer
    x = 949.53

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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.