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Finding the Fourth Proportional to 684.66, 1,026.93 and 191.08

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Solution

The fourth proportional to 684.66, 1,026.93 and 191.08 is: 286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 1,026.93 = 191.08 : x
  2. Step 2: Convert to fraction form
    684.66/1,026.93 = 191.08/x
  3. Step 3: Cross multiply
    684.66x = 1,026.93 × 191.08
  4. Step 4: Simplify right side
    684.66x = 196,227.78
  5. Step 5: Solve for x
    x = 196,227.78/684.66
  6. Step 6: Final answer
    x = 286.60

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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.