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Finding the Fourth Proportional to 709.04, 1,063.48 and 196.08

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Solution

The fourth proportional to 709.04, 1,063.48 and 196.08 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.04 : 1,063.48 = 196.08 : x
  2. Step 2: Convert to fraction form
    709.04/1,063.48 = 196.08/x
  3. Step 3: Cross multiply
    709.04x = 1,063.48 × 196.08
  4. Step 4: Simplify right side
    709.04x = 208,527.16
  5. Step 5: Solve for x
    x = 208,527.16/709.04
  6. Step 6: Final answer
    x = 294.10

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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.