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Finding the Fourth Proportional to 838.87, 1,256.47 and 665.74

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Solution

The fourth proportional to 838.87, 1,256.47 and 665.74 is: 997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.87 : 1,256.47 = 665.74 : x
  2. Step 2: Convert to fraction form
    838.87/1,256.47 = 665.74/x
  3. Step 3: Cross multiply
    838.87x = 1,256.47 × 665.74
  4. Step 4: Simplify right side
    838.87x = 836,482.34
  5. Step 5: Solve for x
    x = 836,482.34/838.87
  6. Step 6: Final answer
    x = 997.15

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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.