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Finding the Fourth Proportional to 657.89, 986.50 and 384.05

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Solution

The fourth proportional to 657.89, 986.50 and 384.05 is: 575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.89 : 986.50 = 384.05 : x
  2. Step 2: Convert to fraction form
    657.89/986.50 = 384.05/x
  3. Step 3: Cross multiply
    657.89x = 986.50 × 384.05
  4. Step 4: Simplify right side
    657.89x = 378,865.33
  5. Step 5: Solve for x
    x = 378,865.33/657.89
  6. Step 6: Final answer
    x = 575.88

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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.