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Finding the Fourth Proportional to 835.78, 1,153.11 and 486.40

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Solution

The fourth proportional to 835.78, 1,153.11 and 486.40 is: 671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.78 : 1,153.11 = 486.40 : x
  2. Step 2: Convert to fraction form
    835.78/1,153.11 = 486.40/x
  3. Step 3: Cross multiply
    835.78x = 1,153.11 × 486.40
  4. Step 4: Simplify right side
    835.78x = 560,872.70
  5. Step 5: Solve for x
    x = 560,872.70/835.78
  6. Step 6: Final answer
    x = 671.08

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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.