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Finding the Fourth Proportional to 653.29, 980.08 and 191.07

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Solution

The fourth proportional to 653.29, 980.08 and 191.07 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.29 : 980.08 = 191.07 : x
  2. Step 2: Convert to fraction form
    653.29/980.08 = 191.07/x
  3. Step 3: Cross multiply
    653.29x = 980.08 × 191.07
  4. Step 4: Simplify right side
    653.29x = 187,263.41
  5. Step 5: Solve for x
    x = 187,263.41/653.29
  6. Step 6: Final answer
    x = 286.65

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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.