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Finding the Fourth Proportional to 716.36, 988.74 and 599.72

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Solution

The fourth proportional to 716.36, 988.74 and 599.72 is: 827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.36 : 988.74 = 599.72 : x
  2. Step 2: Convert to fraction form
    716.36/988.74 = 599.72/x
  3. Step 3: Cross multiply
    716.36x = 988.74 × 599.72
  4. Step 4: Simplify right side
    716.36x = 592,967.15
  5. Step 5: Solve for x
    x = 592,967.15/716.36
  6. Step 6: Final answer
    x = 827.75

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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.