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Finding the Fourth Proportional to 468.82, 706.04 and 427.30

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Solution

The fourth proportional to 468.82, 706.04 and 427.30 is: 643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.82 : 706.04 = 427.30 : x
  2. Step 2: Convert to fraction form
    468.82/706.04 = 427.30/x
  3. Step 3: Cross multiply
    468.82x = 706.04 × 427.30
  4. Step 4: Simplify right side
    468.82x = 301,690.89
  5. Step 5: Solve for x
    x = 301,690.89/468.82
  6. Step 6: Final answer
    x = 643.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.