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Finding the Fourth Proportional to 672.02, 1,007.93 and 209.67

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Solution

The fourth proportional to 672.02, 1,007.93 and 209.67 is: 314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.02 : 1,007.93 = 209.67 : x
  2. Step 2: Convert to fraction form
    672.02/1,007.93 = 209.67/x
  3. Step 3: Cross multiply
    672.02x = 1,007.93 × 209.67
  4. Step 4: Simplify right side
    672.02x = 211,331.63
  5. Step 5: Solve for x
    x = 211,331.63/672.02
  6. Step 6: Final answer
    x = 314.47

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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.