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Finding the Fourth Proportional to 672.97, 1,005.61 and 505.09

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Solution

The fourth proportional to 672.97, 1,005.61 and 505.09 is: 754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.97 : 1,005.61 = 505.09 : x
  2. Step 2: Convert to fraction form
    672.97/1,005.61 = 505.09/x
  3. Step 3: Cross multiply
    672.97x = 1,005.61 × 505.09
  4. Step 4: Simplify right side
    672.97x = 507,923.55
  5. Step 5: Solve for x
    x = 507,923.55/672.97
  6. Step 6: Final answer
    x = 754.75

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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.