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Finding the Fourth Proportional to 859.94, 1,186.25 and 742.40

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Solution

The fourth proportional to 859.94, 1,186.25 and 742.40 is: 1,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.94 : 1,186.25 = 742.40 : x
  2. Step 2: Convert to fraction form
    859.94/1,186.25 = 742.40/x
  3. Step 3: Cross multiply
    859.94x = 1,186.25 × 742.40
  4. Step 4: Simplify right side
    859.94x = 880,662.36
  5. Step 5: Solve for x
    x = 880,662.36/859.94
  6. Step 6: Final answer
    x = 1,024.10

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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.