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Finding the Fourth Proportional to 672.53, 1,009.71 and 519.44

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Solution

The fourth proportional to 672.53, 1,009.71 and 519.44 is: 779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.53 : 1,009.71 = 519.44 : x
  2. Step 2: Convert to fraction form
    672.53/1,009.71 = 519.44/x
  3. Step 3: Cross multiply
    672.53x = 1,009.71 × 519.44
  4. Step 4: Simplify right side
    672.53x = 524,478.71
  5. Step 5: Solve for x
    x = 524,478.71/672.53
  6. Step 6: Final answer
    x = 779.87

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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.