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Finding the Fourth Proportional to 648.29, 970.36 and 339.72

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Solution

The fourth proportional to 648.29, 970.36 and 339.72 is: 508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.29 : 970.36 = 339.72 : x
  2. Step 2: Convert to fraction form
    648.29/970.36 = 339.72/x
  3. Step 3: Cross multiply
    648.29x = 970.36 × 339.72
  4. Step 4: Simplify right side
    648.29x = 329,650.70
  5. Step 5: Solve for x
    x = 329,650.70/648.29
  6. Step 6: Final answer
    x = 508.49

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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.