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Finding the Fourth Proportional to 707.69, 974.49 and 641.81

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Solution

The fourth proportional to 707.69, 974.49 and 641.81 is: 883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.69 : 974.49 = 641.81 : x
  2. Step 2: Convert to fraction form
    707.69/974.49 = 641.81/x
  3. Step 3: Cross multiply
    707.69x = 974.49 × 641.81
  4. Step 4: Simplify right side
    707.69x = 625,437.43
  5. Step 5: Solve for x
    x = 625,437.43/707.69
  6. Step 6: Final answer
    x = 883.77

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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.