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Finding the Fourth Proportional to 479.67, 661.86 and 283.20

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Solution

The fourth proportional to 479.67, 661.86 and 283.20 is: 390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.67 : 661.86 = 283.20 : x
  2. Step 2: Convert to fraction form
    479.67/661.86 = 283.20/x
  3. Step 3: Cross multiply
    479.67x = 661.86 × 283.20
  4. Step 4: Simplify right side
    479.67x = 187,438.75
  5. Step 5: Solve for x
    x = 187,438.75/479.67
  6. Step 6: Final answer
    x = 390.77

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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.