Home / 648.23-972.12-185.89

Finding the Fourth Proportional to 648.23, 972.12 and 185.89

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Solution

The fourth proportional to 648.23, 972.12 and 185.89 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 972.12 = 185.89 : x
  2. Step 2: Convert to fraction form
    648.23/972.12 = 185.89/x
  3. Step 3: Cross multiply
    648.23x = 972.12 × 185.89
  4. Step 4: Simplify right side
    648.23x = 180,707.39
  5. Step 5: Solve for x
    x = 180,707.39/648.23
  6. Step 6: Final answer
    x = 278.77

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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.