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Finding the Fourth Proportional to 648.17, 970.69 and 355.23

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Solution

The fourth proportional to 648.17, 970.69 and 355.23 is: 531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.17 : 970.69 = 355.23 : x
  2. Step 2: Convert to fraction form
    648.17/970.69 = 355.23/x
  3. Step 3: Cross multiply
    648.17x = 970.69 × 355.23
  4. Step 4: Simplify right side
    648.17x = 344,813.36
  5. Step 5: Solve for x
    x = 344,813.36/648.17
  6. Step 6: Final answer
    x = 531.98

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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.