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Finding the Fourth Proportional to 839.35, 1,258.36 and 291.25

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Solution

The fourth proportional to 839.35, 1,258.36 and 291.25 is: 436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.35 : 1,258.36 = 291.25 : x
  2. Step 2: Convert to fraction form
    839.35/1,258.36 = 291.25/x
  3. Step 3: Cross multiply
    839.35x = 1,258.36 × 291.25
  4. Step 4: Simplify right side
    839.35x = 366,495.89
  5. Step 5: Solve for x
    x = 366,495.89/839.35
  6. Step 6: Final answer
    x = 436.64

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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.