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Finding the Fourth Proportional to 648.83, 973.31 and 319.57

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Solution

The fourth proportional to 648.83, 973.31 and 319.57 is: 479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.83 : 973.31 = 319.57 : x
  2. Step 2: Convert to fraction form
    648.83/973.31 = 319.57/x
  3. Step 3: Cross multiply
    648.83x = 973.31 × 319.57
  4. Step 4: Simplify right side
    648.83x = 311,040.68
  5. Step 5: Solve for x
    x = 311,040.68/648.83
  6. Step 6: Final answer
    x = 479.39

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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.