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Finding the Fourth Proportional to 838.30, 1,256.10 and 529.60

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Solution

The fourth proportional to 838.30, 1,256.10 and 529.60 is: 793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.30 : 1,256.10 = 529.60 : x
  2. Step 2: Convert to fraction form
    838.30/1,256.10 = 529.60/x
  3. Step 3: Cross multiply
    838.30x = 1,256.10 × 529.60
  4. Step 4: Simplify right side
    838.30x = 665,230.56
  5. Step 5: Solve for x
    x = 665,230.56/838.30
  6. Step 6: Final answer
    x = 793.55

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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.