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Finding the Fourth Proportional to 672.46, 1,008.61 and 210.25

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Solution

The fourth proportional to 672.46, 1,008.61 and 210.25 is: 315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.46 : 1,008.61 = 210.25 : x
  2. Step 2: Convert to fraction form
    672.46/1,008.61 = 210.25/x
  3. Step 3: Cross multiply
    672.46x = 1,008.61 × 210.25
  4. Step 4: Simplify right side
    672.46x = 212,060.25
  5. Step 5: Solve for x
    x = 212,060.25/672.46
  6. Step 6: Final answer
    x = 315.35

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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.