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Finding the Fourth Proportional to 487.46, 672.36 and 413.48

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Solution

The fourth proportional to 487.46, 672.36 and 413.48 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.46 : 672.36 = 413.48 : x
  2. Step 2: Convert to fraction form
    487.46/672.36 = 413.48/x
  3. Step 3: Cross multiply
    487.46x = 672.36 × 413.48
  4. Step 4: Simplify right side
    487.46x = 278,007.41
  5. Step 5: Solve for x
    x = 278,007.41/487.46
  6. Step 6: Final answer
    x = 570.32

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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.