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Finding the Fourth Proportional to 755.48, 1,043.46 and 506.42

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Solution

The fourth proportional to 755.48, 1,043.46 and 506.42 is: 699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.48 : 1,043.46 = 506.42 : x
  2. Step 2: Convert to fraction form
    755.48/1,043.46 = 506.42/x
  3. Step 3: Cross multiply
    755.48x = 1,043.46 × 506.42
  4. Step 4: Simplify right side
    755.48x = 528,429.01
  5. Step 5: Solve for x
    x = 528,429.01/755.48
  6. Step 6: Final answer
    x = 699.46

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.