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Finding the Fourth Proportional to 755.66, 1,043.07 and 522.38

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Solution

The fourth proportional to 755.66, 1,043.07 and 522.38 is: 721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.66 : 1,043.07 = 522.38 : x
  2. Step 2: Convert to fraction form
    755.66/1,043.07 = 522.38/x
  3. Step 3: Cross multiply
    755.66x = 1,043.07 × 522.38
  4. Step 4: Simplify right side
    755.66x = 544,878.91
  5. Step 5: Solve for x
    x = 544,878.91/755.66
  6. Step 6: Final answer
    x = 721.06

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1.5x scale

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.