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Finding the Fourth Proportional to 859.32, 1,290.87 and 810.18

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Solution

The fourth proportional to 859.32, 1,290.87 and 810.18 is: 1,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,290.87 = 810.18 : x
  2. Step 2: Convert to fraction form
    859.32/1,290.87 = 810.18/x
  3. Step 3: Cross multiply
    859.32x = 1,290.87 × 810.18
  4. Step 4: Simplify right side
    859.32x = 1,045,837.06
  5. Step 5: Solve for x
    x = 1,045,837.06/859.32
  6. Step 6: Final answer
    x = 1,217.05

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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.