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Finding the Fourth Proportional to 755.53, 1,042.64 and 507.16

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Solution

The fourth proportional to 755.53, 1,042.64 and 507.16 is: 699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.53 : 1,042.64 = 507.16 : x
  2. Step 2: Convert to fraction form
    755.53/1,042.64 = 507.16/x
  3. Step 3: Cross multiply
    755.53x = 1,042.64 × 507.16
  4. Step 4: Simplify right side
    755.53x = 528,785.97
  5. Step 5: Solve for x
    x = 528,785.97/755.53
  6. Step 6: Final answer
    x = 699.89

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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.