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Finding the Fourth Proportional to 709.65, 980.06 and 632.34

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Solution

The fourth proportional to 709.65, 980.06 and 632.34 is: 873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.65 : 980.06 = 632.34 : x
  2. Step 2: Convert to fraction form
    709.65/980.06 = 632.34/x
  3. Step 3: Cross multiply
    709.65x = 980.06 × 632.34
  4. Step 4: Simplify right side
    709.65x = 619,731.14
  5. Step 5: Solve for x
    x = 619,731.14/709.65
  6. Step 6: Final answer
    x = 873.29

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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.