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Finding the Fourth Proportional to 662.08, 917.62 and 649.78

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Solution

The fourth proportional to 662.08, 917.62 and 649.78 is: 900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.08 : 917.62 = 649.78 : x
  2. Step 2: Convert to fraction form
    662.08/917.62 = 649.78/x
  3. Step 3: Cross multiply
    662.08x = 917.62 × 649.78
  4. Step 4: Simplify right side
    662.08x = 596,251.12
  5. Step 5: Solve for x
    x = 596,251.12/662.08
  6. Step 6: Final answer
    x = 900.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.