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Finding the Fourth Proportional to 466.81, 700.57 and 320.20

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Solution

The fourth proportional to 466.81, 700.57 and 320.20 is: 480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.81 : 700.57 = 320.20 : x
  2. Step 2: Convert to fraction form
    466.81/700.57 = 320.20/x
  3. Step 3: Cross multiply
    466.81x = 700.57 × 320.20
  4. Step 4: Simplify right side
    466.81x = 224,326.00
  5. Step 5: Solve for x
    x = 224,326.00/466.81
  6. Step 6: Final answer
    x = 480.55

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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.