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Finding the Fourth Proportional to 650.92, 977.19 and 505.12

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Solution

The fourth proportional to 650.92, 977.19 and 505.12 is: 758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.92 : 977.19 = 505.12 : x
  2. Step 2: Convert to fraction form
    650.92/977.19 = 505.12/x
  3. Step 3: Cross multiply
    650.92x = 977.19 × 505.12
  4. Step 4: Simplify right side
    650.92x = 493,598.21
  5. Step 5: Solve for x
    x = 493,598.21/650.92
  6. Step 6: Final answer
    x = 758.31

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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.