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Finding the Fourth Proportional to 859.50, 1,287.81 and 754.62

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Solution

The fourth proportional to 859.50, 1,287.81 and 754.62 is: 1,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.50 : 1,287.81 = 754.62 : x
  2. Step 2: Convert to fraction form
    859.50/1,287.81 = 754.62/x
  3. Step 3: Cross multiply
    859.50x = 1,287.81 × 754.62
  4. Step 4: Simplify right side
    859.50x = 971,807.18
  5. Step 5: Solve for x
    x = 971,807.18/859.50
  6. Step 6: Final answer
    x = 1,130.67

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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.