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Finding the Fourth Proportional to 657.92, 986.57 and 384.09

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Solution

The fourth proportional to 657.92, 986.57 and 384.09 is: 575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.92 : 986.57 = 384.09 : x
  2. Step 2: Convert to fraction form
    657.92/986.57 = 384.09/x
  3. Step 3: Cross multiply
    657.92x = 986.57 × 384.09
  4. Step 4: Simplify right side
    657.92x = 378,931.67
  5. Step 5: Solve for x
    x = 378,931.67/657.92
  6. Step 6: Final answer
    x = 575.95

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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.