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Finding the Fourth Proportional to 859.90, 1,186.56 and 742.06

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Solution

The fourth proportional to 859.90, 1,186.56 and 742.06 is: 1,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.90 : 1,186.56 = 742.06 : x
  2. Step 2: Convert to fraction form
    859.90/1,186.56 = 742.06/x
  3. Step 3: Cross multiply
    859.90x = 1,186.56 × 742.06
  4. Step 4: Simplify right side
    859.90x = 880,498.71
  5. Step 5: Solve for x
    x = 880,498.71/859.90
  6. Step 6: Final answer
    x = 1,023.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.