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Finding the Fourth Proportional to 839.15, 1,258.77 and 291.38

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Solution

The fourth proportional to 839.15, 1,258.77 and 291.38 is: 437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.15 : 1,258.77 = 291.38 : x
  2. Step 2: Convert to fraction form
    839.15/1,258.77 = 291.38/x
  3. Step 3: Cross multiply
    839.15x = 1,258.77 × 291.38
  4. Step 4: Simplify right side
    839.15x = 366,774.11
  5. Step 5: Solve for x
    x = 366,774.11/839.15
  6. Step 6: Final answer
    x = 437.08

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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.