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Finding the Fourth Proportional to 672.68, 1,009.50 and 288.04

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Solution

The fourth proportional to 672.68, 1,009.50 and 288.04 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.68 : 1,009.50 = 288.04 : x
  2. Step 2: Convert to fraction form
    672.68/1,009.50 = 288.04/x
  3. Step 3: Cross multiply
    672.68x = 1,009.50 × 288.04
  4. Step 4: Simplify right side
    672.68x = 290,776.38
  5. Step 5: Solve for x
    x = 290,776.38/672.68
  6. Step 6: Final answer
    x = 432.27

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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.