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Finding the Fourth Proportional to 648.79, 973.07 and 210.05

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Solution

The fourth proportional to 648.79, 973.07 and 210.05 is: 315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.79 : 973.07 = 210.05 : x
  2. Step 2: Convert to fraction form
    648.79/973.07 = 210.05/x
  3. Step 3: Cross multiply
    648.79x = 973.07 × 210.05
  4. Step 4: Simplify right side
    648.79x = 204,392.30
  5. Step 5: Solve for x
    x = 204,392.30/648.79
  6. Step 6: Final answer
    x = 315.04

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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.