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Finding the Fourth Proportional to 859.16, 1,291.12 and 838.32

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Solution

The fourth proportional to 859.16, 1,291.12 and 838.32 is: 1,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,291.12 = 838.32 : x
  2. Step 2: Convert to fraction form
    859.16/1,291.12 = 838.32/x
  3. Step 3: Cross multiply
    859.16x = 1,291.12 × 838.32
  4. Step 4: Simplify right side
    859.16x = 1,082,371.72
  5. Step 5: Solve for x
    x = 1,082,371.72/859.16
  6. Step 6: Final answer
    x = 1,259.80

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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.