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Finding the Fourth Proportional to 659.25, 987.63 and 385.26

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Solution

The fourth proportional to 659.25, 987.63 and 385.26 is: 577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.25 : 987.63 = 385.26 : x
  2. Step 2: Convert to fraction form
    659.25/987.63 = 385.26/x
  3. Step 3: Cross multiply
    659.25x = 987.63 × 385.26
  4. Step 4: Simplify right side
    659.25x = 380,494.33
  5. Step 5: Solve for x
    x = 380,494.33/659.25
  6. Step 6: Final answer
    x = 577.16

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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.