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Finding the Fourth Proportional to 650.80, 976.74 and 507.43

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Solution

The fourth proportional to 650.80, 976.74 and 507.43 is: 761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.80 : 976.74 = 507.43 : x
  2. Step 2: Convert to fraction form
    650.80/976.74 = 507.43/x
  3. Step 3: Cross multiply
    650.80x = 976.74 × 507.43
  4. Step 4: Simplify right side
    650.80x = 495,627.18
  5. Step 5: Solve for x
    x = 495,627.18/650.80
  6. Step 6: Final answer
    x = 761.57

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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.