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Finding the Fourth Proportional to 657.85, 986.74 and 411.13

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Solution

The fourth proportional to 657.85, 986.74 and 411.13 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.85 : 986.74 = 411.13 : x
  2. Step 2: Convert to fraction form
    657.85/986.74 = 411.13/x
  3. Step 3: Cross multiply
    657.85x = 986.74 × 411.13
  4. Step 4: Simplify right side
    657.85x = 405,678.42
  5. Step 5: Solve for x
    x = 405,678.42/657.85
  6. Step 6: Final answer
    x = 616.67

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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.