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Finding the Fourth Proportional to 672.51, 1,007.13 and 466.50

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Solution

The fourth proportional to 672.51, 1,007.13 and 466.50 is: 698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.51 : 1,007.13 = 466.50 : x
  2. Step 2: Convert to fraction form
    672.51/1,007.13 = 466.50/x
  3. Step 3: Cross multiply
    672.51x = 1,007.13 × 466.50
  4. Step 4: Simplify right side
    672.51x = 469,826.15
  5. Step 5: Solve for x
    x = 469,826.15/672.51
  6. Step 6: Final answer
    x = 698.62

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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.