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Finding the Fourth Proportional to 659.60, 987.96 and 385.01

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Solution

The fourth proportional to 659.60, 987.96 and 385.01 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.60 : 987.96 = 385.01 : x
  2. Step 2: Convert to fraction form
    659.60/987.96 = 385.01/x
  3. Step 3: Cross multiply
    659.60x = 987.96 × 385.01
  4. Step 4: Simplify right side
    659.60x = 380,374.48
  5. Step 5: Solve for x
    x = 380,374.48/659.60
  6. Step 6: Final answer
    x = 576.67

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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.