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Finding the Fourth Proportional to 649.77, 974.69 and 162.83

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Solution

The fourth proportional to 649.77, 974.69 and 162.83 is: 244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.77 : 974.69 = 162.83 : x
  2. Step 2: Convert to fraction form
    649.77/974.69 = 162.83/x
  3. Step 3: Cross multiply
    649.77x = 974.69 × 162.83
  4. Step 4: Simplify right side
    649.77x = 158,703.09
  5. Step 5: Solve for x
    x = 158,703.09/649.77
  6. Step 6: Final answer
    x = 244.25

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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.