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Finding the Fourth Proportional to 672.64, 1,007.30 and 466.64

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Solution

The fourth proportional to 672.64, 1,007.30 and 466.64 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.64 : 1,007.30 = 466.64 : x
  2. Step 2: Convert to fraction form
    672.64/1,007.30 = 466.64/x
  3. Step 3: Cross multiply
    672.64x = 1,007.30 × 466.64
  4. Step 4: Simplify right side
    672.64x = 470,046.47
  5. Step 5: Solve for x
    x = 470,046.47/672.64
  6. Step 6: Final answer
    x = 698.81

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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.