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Finding the Fourth Proportional to 755.69, 1,043.17 and 506.93

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Solution

The fourth proportional to 755.69, 1,043.17 and 506.93 is: 699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.69 : 1,043.17 = 506.93 : x
  2. Step 2: Convert to fraction form
    755.69/1,043.17 = 506.93/x
  3. Step 3: Cross multiply
    755.69x = 1,043.17 × 506.93
  4. Step 4: Simplify right side
    755.69x = 528,807.68
  5. Step 5: Solve for x
    x = 528,807.68/755.69
  6. Step 6: Final answer
    x = 699.77

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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.