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Finding the Fourth Proportional to 479.85, 660.72 and 362.01

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Solution

The fourth proportional to 479.85, 660.72 and 362.01 is: 498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.85 : 660.72 = 362.01 : x
  2. Step 2: Convert to fraction form
    479.85/660.72 = 362.01/x
  3. Step 3: Cross multiply
    479.85x = 660.72 × 362.01
  4. Step 4: Simplify right side
    479.85x = 239,187.25
  5. Step 5: Solve for x
    x = 239,187.25/479.85
  6. Step 6: Final answer
    x = 498.46

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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.