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Finding the Fourth Proportional to 672.20, 1,009.36 and 557.38

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Solution

The fourth proportional to 672.20, 1,009.36 and 557.38 is: 836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.20 : 1,009.36 = 557.38 : x
  2. Step 2: Convert to fraction form
    672.20/1,009.36 = 557.38/x
  3. Step 3: Cross multiply
    672.20x = 1,009.36 × 557.38
  4. Step 4: Simplify right side
    672.20x = 562,599.04
  5. Step 5: Solve for x
    x = 562,599.04/672.20
  6. Step 6: Final answer
    x = 836.95

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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.