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Finding the Fourth Proportional to 715.52, 982.66 and 598.88

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Solution

The fourth proportional to 715.52, 982.66 and 598.88 is: 822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.52 : 982.66 = 598.88 : x
  2. Step 2: Convert to fraction form
    715.52/982.66 = 598.88/x
  3. Step 3: Cross multiply
    715.52x = 982.66 × 598.88
  4. Step 4: Simplify right side
    715.52x = 588,495.42
  5. Step 5: Solve for x
    x = 588,495.42/715.52
  6. Step 6: Final answer
    x = 822.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.