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Finding the Fourth Proportional to 859.58, 1,291.02 and 750.26

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Solution

The fourth proportional to 859.58, 1,291.02 and 750.26 is: 1,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.58 : 1,291.02 = 750.26 : x
  2. Step 2: Convert to fraction form
    859.58/1,291.02 = 750.26/x
  3. Step 3: Cross multiply
    859.58x = 1,291.02 × 750.26
  4. Step 4: Simplify right side
    859.58x = 968,600.67
  5. Step 5: Solve for x
    x = 968,600.67/859.58
  6. Step 6: Final answer
    x = 1,126.83

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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.