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Finding the Fourth Proportional to 649.64, 974.28 and 376.04

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Solution

The fourth proportional to 649.64, 974.28 and 376.04 is: 563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 974.28 = 376.04 : x
  2. Step 2: Convert to fraction form
    649.64/974.28 = 376.04/x
  3. Step 3: Cross multiply
    649.64x = 974.28 × 376.04
  4. Step 4: Simplify right side
    649.64x = 366,368.25
  5. Step 5: Solve for x
    x = 366,368.25/649.64
  6. Step 6: Final answer
    x = 563.96

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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.