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Finding the Fourth Proportional to 716.38, 988.45 and 421.54

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Solution

The fourth proportional to 716.38, 988.45 and 421.54 is: 581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.38 : 988.45 = 421.54 : x
  2. Step 2: Convert to fraction form
    716.38/988.45 = 421.54/x
  3. Step 3: Cross multiply
    716.38x = 988.45 × 421.54
  4. Step 4: Simplify right side
    716.38x = 416,664.16
  5. Step 5: Solve for x
    x = 416,664.16/716.38
  6. Step 6: Final answer
    x = 581.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.