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Finding the Fourth Proportional to 650.72, 976.32 and 460.16

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Solution

The fourth proportional to 650.72, 976.32 and 460.16 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.72 : 976.32 = 460.16 : x
  2. Step 2: Convert to fraction form
    650.72/976.32 = 460.16/x
  3. Step 3: Cross multiply
    650.72x = 976.32 × 460.16
  4. Step 4: Simplify right side
    650.72x = 449,263.41
  5. Step 5: Solve for x
    x = 449,263.41/650.72
  6. Step 6: Final answer
    x = 690.41

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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.