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Finding the Fourth Proportional to 838.35, 1,258.68 and 427.77

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Solution

The fourth proportional to 838.35, 1,258.68 and 427.77 is: 642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.35 : 1,258.68 = 427.77 : x
  2. Step 2: Convert to fraction form
    838.35/1,258.68 = 427.77/x
  3. Step 3: Cross multiply
    838.35x = 1,258.68 × 427.77
  4. Step 4: Simplify right side
    838.35x = 538,425.54
  5. Step 5: Solve for x
    x = 538,425.54/838.35
  6. Step 6: Final answer
    x = 642.24

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1.5x scale

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.