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Finding the Fourth Proportional to 662.42, 988.35 and 592.82

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Solution

The fourth proportional to 662.42, 988.35 and 592.82 is: 884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.42 : 988.35 = 592.82 : x
  2. Step 2: Convert to fraction form
    662.42/988.35 = 592.82/x
  3. Step 3: Cross multiply
    662.42x = 988.35 × 592.82
  4. Step 4: Simplify right side
    662.42x = 585,910.68
  5. Step 5: Solve for x
    x = 585,910.68/662.42
  6. Step 6: Final answer
    x = 884.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.