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Finding the Fourth Proportional to 716.23, 988.64 and 436.65

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Solution

The fourth proportional to 716.23, 988.64 and 436.65 is: 602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.23 : 988.64 = 436.65 : x
  2. Step 2: Convert to fraction form
    716.23/988.64 = 436.65/x
  3. Step 3: Cross multiply
    716.23x = 988.64 × 436.65
  4. Step 4: Simplify right side
    716.23x = 431,689.66
  5. Step 5: Solve for x
    x = 431,689.66/716.23
  6. Step 6: Final answer
    x = 602.72

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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.