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Finding the Fourth Proportional to 659.47, 989.05 and 269.36

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Solution

The fourth proportional to 659.47, 989.05 and 269.36 is: 403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.47 : 989.05 = 269.36 : x
  2. Step 2: Convert to fraction form
    659.47/989.05 = 269.36/x
  3. Step 3: Cross multiply
    659.47x = 989.05 × 269.36
  4. Step 4: Simplify right side
    659.47x = 266,410.51
  5. Step 5: Solve for x
    x = 266,410.51/659.47
  6. Step 6: Final answer
    x = 403.98

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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.