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Finding the Fourth Proportional to 709.24, 1,057.16 and 674.58

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Solution

The fourth proportional to 709.24, 1,057.16 and 674.58 is: 1,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.24 : 1,057.16 = 674.58 : x
  2. Step 2: Convert to fraction form
    709.24/1,057.16 = 674.58/x
  3. Step 3: Cross multiply
    709.24x = 1,057.16 × 674.58
  4. Step 4: Simplify right side
    709.24x = 713,135.62
  5. Step 5: Solve for x
    x = 713,135.62/709.24
  6. Step 6: Final answer
    x = 1,005.49

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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.