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Finding the Fourth Proportional to 659.65, 989.86 and 294.39

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Solution

The fourth proportional to 659.65, 989.86 and 294.39 is: 441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.65 : 989.86 = 294.39 : x
  2. Step 2: Convert to fraction form
    659.65/989.86 = 294.39/x
  3. Step 3: Cross multiply
    659.65x = 989.86 × 294.39
  4. Step 4: Simplify right side
    659.65x = 291,404.89
  5. Step 5: Solve for x
    x = 291,404.89/659.65
  6. Step 6: Final answer
    x = 441.76

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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.