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Finding the Fourth Proportional to 672.69, 1,004.13 and 575.49

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Solution

The fourth proportional to 672.69, 1,004.13 and 575.49 is: 859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.69 : 1,004.13 = 575.49 : x
  2. Step 2: Convert to fraction form
    672.69/1,004.13 = 575.49/x
  3. Step 3: Cross multiply
    672.69x = 1,004.13 × 575.49
  4. Step 4: Simplify right side
    672.69x = 577,866.77
  5. Step 5: Solve for x
    x = 577,866.77/672.69
  6. Step 6: Final answer
    x = 859.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.