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Finding the Fourth Proportional to 838.35, 1,155.77 and 641.52

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Solution

The fourth proportional to 838.35, 1,155.77 and 641.52 is: 884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.35 : 1,155.77 = 641.52 : x
  2. Step 2: Convert to fraction form
    838.35/1,155.77 = 641.52/x
  3. Step 3: Cross multiply
    838.35x = 1,155.77 × 641.52
  4. Step 4: Simplify right side
    838.35x = 741,448.77
  5. Step 5: Solve for x
    x = 741,448.77/838.35
  6. Step 6: Final answer
    x = 884.41

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1.5x scale

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.