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Finding the Fourth Proportional to 1,128.92, 1,693.26 and 479.56

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Solution

The fourth proportional to 1,128.92, 1,693.26 and 479.56 is: 719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.92 : 1,693.26 = 479.56 : x
  2. Step 2: Convert to fraction form
    1,128.92/1,693.26 = 479.56/x
  3. Step 3: Cross multiply
    1,128.92x = 1,693.26 × 479.56
  4. Step 4: Simplify right side
    1,128.92x = 812,019.77
  5. Step 5: Solve for x
    x = 812,019.77/1,128.92
  6. Step 6: Final answer
    x = 719.29

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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.