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Finding the Fourth Proportional to 648.58, 973.02 and 215.71

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Solution

The fourth proportional to 648.58, 973.02 and 215.71 is: 323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.58 : 973.02 = 215.71 : x
  2. Step 2: Convert to fraction form
    648.58/973.02 = 215.71/x
  3. Step 3: Cross multiply
    648.58x = 973.02 × 215.71
  4. Step 4: Simplify right side
    648.58x = 209,890.14
  5. Step 5: Solve for x
    x = 209,890.14/648.58
  6. Step 6: Final answer
    x = 323.61

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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.