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Finding the Fourth Proportional to 468.60, 706.37 and 436.60

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Solution

The fourth proportional to 468.60, 706.37 and 436.60 is: 658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.60 : 706.37 = 436.60 : x
  2. Step 2: Convert to fraction form
    468.60/706.37 = 436.60/x
  3. Step 3: Cross multiply
    468.60x = 706.37 × 436.60
  4. Step 4: Simplify right side
    468.60x = 308,401.14
  5. Step 5: Solve for x
    x = 308,401.14/468.60
  6. Step 6: Final answer
    x = 658.13

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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.