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Finding the Fourth Proportional to 838.50, 1,256.76 and 473.46

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Solution

The fourth proportional to 838.50, 1,256.76 and 473.46 is: 709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,256.76 = 473.46 : x
  2. Step 2: Convert to fraction form
    838.50/1,256.76 = 473.46/x
  3. Step 3: Cross multiply
    838.50x = 1,256.76 × 473.46
  4. Step 4: Simplify right side
    838.50x = 595,025.59
  5. Step 5: Solve for x
    x = 595,025.59/838.50
  6. Step 6: Final answer
    x = 709.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.