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Finding the Fourth Proportional to 835.78, 1,250.43 and 560.56

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Solution

The fourth proportional to 835.78, 1,250.43 and 560.56 is: 838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.78 : 1,250.43 = 560.56 : x
  2. Step 2: Convert to fraction form
    835.78/1,250.43 = 560.56/x
  3. Step 3: Cross multiply
    835.78x = 1,250.43 × 560.56
  4. Step 4: Simplify right side
    835.78x = 700,941.04
  5. Step 5: Solve for x
    x = 700,941.04/835.78
  6. Step 6: Final answer
    x = 838.67

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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.