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Finding the Fourth Proportional to 838.98, 1,258.11 and 291.08

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Solution

The fourth proportional to 838.98, 1,258.11 and 291.08 is: 436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.98 : 1,258.11 = 291.08 : x
  2. Step 2: Convert to fraction form
    838.98/1,258.11 = 291.08/x
  3. Step 3: Cross multiply
    838.98x = 1,258.11 × 291.08
  4. Step 4: Simplify right side
    838.98x = 366,204.37
  5. Step 5: Solve for x
    x = 366,204.37/838.98
  6. Step 6: Final answer
    x = 436.49

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Half scale
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Double scale
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Similar ratio
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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.