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Finding the Fourth Proportional to 1,128.42, 1,690.56 and 579.24

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Solution

The fourth proportional to 1,128.42, 1,690.56 and 579.24 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.42 : 1,690.56 = 579.24 : x
  2. Step 2: Convert to fraction form
    1,128.42/1,690.56 = 579.24/x
  3. Step 3: Cross multiply
    1,128.42x = 1,690.56 × 579.24
  4. Step 4: Simplify right side
    1,128.42x = 979,239.97
  5. Step 5: Solve for x
    x = 979,239.97/1,128.42
  6. Step 6: Final answer
    x = 867.80

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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.