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Finding the Fourth Proportional to 716.16, 988.31 and 436.36

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Solution

The fourth proportional to 716.16, 988.31 and 436.36 is: 602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.16 : 988.31 = 436.36 : x
  2. Step 2: Convert to fraction form
    716.16/988.31 = 436.36/x
  3. Step 3: Cross multiply
    716.16x = 988.31 × 436.36
  4. Step 4: Simplify right side
    716.16x = 431,260.04
  5. Step 5: Solve for x
    x = 431,260.04/716.16
  6. Step 6: Final answer
    x = 602.18

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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.