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Finding the Fourth Proportional to 468.90, 699.68 and 466.20

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Solution

The fourth proportional to 468.90, 699.68 and 466.20 is: 695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.90 : 699.68 = 466.20 : x
  2. Step 2: Convert to fraction form
    468.90/699.68 = 466.20/x
  3. Step 3: Cross multiply
    468.90x = 699.68 × 466.20
  4. Step 4: Simplify right side
    468.90x = 326,190.82
  5. Step 5: Solve for x
    x = 326,190.82/468.90
  6. Step 6: Final answer
    x = 695.65

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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.