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Finding the Fourth Proportional to 648.72, 972.79 and 186.39

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Solution

The fourth proportional to 648.72, 972.79 and 186.39 is: 279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.72 : 972.79 = 186.39 : x
  2. Step 2: Convert to fraction form
    648.72/972.79 = 186.39/x
  3. Step 3: Cross multiply
    648.72x = 972.79 × 186.39
  4. Step 4: Simplify right side
    648.72x = 181,312.53
  5. Step 5: Solve for x
    x = 181,312.53/648.72
  6. Step 6: Final answer
    x = 279.49

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1.5x scale

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.