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Finding the Fourth Proportional to 838.35, 1,155.47 and 575.91

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Solution

The fourth proportional to 838.35, 1,155.47 and 575.91 is: 793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.35 : 1,155.47 = 575.91 : x
  2. Step 2: Convert to fraction form
    838.35/1,155.47 = 575.91/x
  3. Step 3: Cross multiply
    838.35x = 1,155.47 × 575.91
  4. Step 4: Simplify right side
    838.35x = 665,443.85
  5. Step 5: Solve for x
    x = 665,443.85/838.35
  6. Step 6: Final answer
    x = 793.75

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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.