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Finding the Fourth Proportional to 859.84, 1,290.68 and 535.48

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Solution

The fourth proportional to 859.84, 1,290.68 and 535.48 is: 803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.84 : 1,290.68 = 535.48 : x
  2. Step 2: Convert to fraction form
    859.84/1,290.68 = 535.48/x
  3. Step 3: Cross multiply
    859.84x = 1,290.68 × 535.48
  4. Step 4: Simplify right side
    859.84x = 691,133.33
  5. Step 5: Solve for x
    x = 691,133.33/859.84
  6. Step 6: Final answer
    x = 803.79

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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.