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Finding the Fourth Proportional to 716.32, 988.29 and 421.48

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Solution

The fourth proportional to 716.32, 988.29 and 421.48 is: 581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.32 : 988.29 = 421.48 : x
  2. Step 2: Convert to fraction form
    716.32/988.29 = 421.48/x
  3. Step 3: Cross multiply
    716.32x = 988.29 × 421.48
  4. Step 4: Simplify right side
    716.32x = 416,544.47
  5. Step 5: Solve for x
    x = 416,544.47/716.32
  6. Step 6: Final answer
    x = 581.51

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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.