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Finding the Fourth Proportional to 716.63, 988.95 and 421.85

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Solution

The fourth proportional to 716.63, 988.95 and 421.85 is: 582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.63 : 988.95 = 421.85 : x
  2. Step 2: Convert to fraction form
    716.63/988.95 = 421.85/x
  3. Step 3: Cross multiply
    716.63x = 988.95 × 421.85
  4. Step 4: Simplify right side
    716.63x = 417,188.56
  5. Step 5: Solve for x
    x = 417,188.56/716.63
  6. Step 6: Final answer
    x = 582.15

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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.