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Finding the Fourth Proportional to 672.40, 1,009.20 and 581.20

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Solution

The fourth proportional to 672.40, 1,009.20 and 581.20 is: 872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.40 : 1,009.20 = 581.20 : x
  2. Step 2: Convert to fraction form
    672.40/1,009.20 = 581.20/x
  3. Step 3: Cross multiply
    672.40x = 1,009.20 × 581.20
  4. Step 4: Simplify right side
    672.40x = 586,547.04
  5. Step 5: Solve for x
    x = 586,547.04/672.40
  6. Step 6: Final answer
    x = 872.32

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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.