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Finding the Fourth Proportional to 838.17, 1,255.64 and 473.67

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Solution

The fourth proportional to 838.17, 1,255.64 and 473.67 is: 709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.17 : 1,255.64 = 473.67 : x
  2. Step 2: Convert to fraction form
    838.17/1,255.64 = 473.67/x
  3. Step 3: Cross multiply
    838.17x = 1,255.64 × 473.67
  4. Step 4: Simplify right side
    838.17x = 594,756.63
  5. Step 5: Solve for x
    x = 594,756.63/838.17
  6. Step 6: Final answer
    x = 709.59

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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.