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Finding the Fourth Proportional to 658.74, 910.79 and 648.34

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Solution

The fourth proportional to 658.74, 910.79 and 648.34 is: 896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.74 : 910.79 = 648.34 : x
  2. Step 2: Convert to fraction form
    658.74/910.79 = 648.34/x
  3. Step 3: Cross multiply
    658.74x = 910.79 × 648.34
  4. Step 4: Simplify right side
    658.74x = 590,501.59
  5. Step 5: Solve for x
    x = 590,501.59/658.74
  6. Step 6: Final answer
    x = 896.41

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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.