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Finding the Fourth Proportional to 650.66, 971.91 and 466.58

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Solution

The fourth proportional to 650.66, 971.91 and 466.58 is: 696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.66 : 971.91 = 466.58 : x
  2. Step 2: Convert to fraction form
    650.66/971.91 = 466.58/x
  3. Step 3: Cross multiply
    650.66x = 971.91 × 466.58
  4. Step 4: Simplify right side
    650.66x = 453,476.20
  5. Step 5: Solve for x
    x = 453,476.20/650.66
  6. Step 6: Final answer
    x = 696.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.