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Finding the Fourth Proportional to 716.15, 988.37 and 436.43

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Solution

The fourth proportional to 716.15, 988.37 and 436.43 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.15 : 988.37 = 436.43 : x
  2. Step 2: Convert to fraction form
    716.15/988.37 = 436.43/x
  3. Step 3: Cross multiply
    716.15x = 988.37 × 436.43
  4. Step 4: Simplify right side
    716.15x = 431,347.20
  5. Step 5: Solve for x
    x = 431,347.20/716.15
  6. Step 6: Final answer
    x = 602.32

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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.