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Finding the Fourth Proportional to 716.16, 988.36 and 436.33

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Solution

The fourth proportional to 716.16, 988.36 and 436.33 is: 602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.16 : 988.36 = 436.33 : x
  2. Step 2: Convert to fraction form
    716.16/988.36 = 436.33/x
  3. Step 3: Cross multiply
    716.16x = 988.36 × 436.33
  4. Step 4: Simplify right side
    716.16x = 431,246.18
  5. Step 5: Solve for x
    x = 431,246.18/716.16
  6. Step 6: Final answer
    x = 602.17

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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.