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Finding the Fourth Proportional to 650.63, 977.14 and 391.18

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Solution

The fourth proportional to 650.63, 977.14 and 391.18 is: 587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.63 : 977.14 = 391.18 : x
  2. Step 2: Convert to fraction form
    650.63/977.14 = 391.18/x
  3. Step 3: Cross multiply
    650.63x = 977.14 × 391.18
  4. Step 4: Simplify right side
    650.63x = 382,241.97
  5. Step 5: Solve for x
    x = 382,241.97/650.63
  6. Step 6: Final answer
    x = 587.49

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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.