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Finding the Fourth Proportional to 487.92, 672.66 and 413.94

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Solution

The fourth proportional to 487.92, 672.66 and 413.94 is: 570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.92 : 672.66 = 413.94 : x
  2. Step 2: Convert to fraction form
    487.92/672.66 = 413.94/x
  3. Step 3: Cross multiply
    487.92x = 672.66 × 413.94
  4. Step 4: Simplify right side
    487.92x = 278,440.88
  5. Step 5: Solve for x
    x = 278,440.88/487.92
  6. Step 6: Final answer
    x = 570.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.