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Finding the Fourth Proportional to 649.63, 974.76 and 285.13

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Solution

The fourth proportional to 649.63, 974.76 and 285.13 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 974.76 = 285.13 : x
  2. Step 2: Convert to fraction form
    649.63/974.76 = 285.13/x
  3. Step 3: Cross multiply
    649.63x = 974.76 × 285.13
  4. Step 4: Simplify right side
    649.63x = 277,933.32
  5. Step 5: Solve for x
    x = 277,933.32/649.63
  6. Step 6: Final answer
    x = 427.83

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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.