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Finding the Fourth Proportional to 659.35, 988.43 and 351.42

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Solution

The fourth proportional to 659.35, 988.43 and 351.42 is: 526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.35 : 988.43 = 351.42 : x
  2. Step 2: Convert to fraction form
    659.35/988.43 = 351.42/x
  3. Step 3: Cross multiply
    659.35x = 988.43 × 351.42
  4. Step 4: Simplify right side
    659.35x = 347,354.95
  5. Step 5: Solve for x
    x = 347,354.95/659.35
  6. Step 6: Final answer
    x = 526.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.