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Finding the Fourth Proportional to 755.64, 1,042.80 and 568.83

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Solution

The fourth proportional to 755.64, 1,042.80 and 568.83 is: 785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.64 : 1,042.80 = 568.83 : x
  2. Step 2: Convert to fraction form
    755.64/1,042.80 = 568.83/x
  3. Step 3: Cross multiply
    755.64x = 1,042.80 × 568.83
  4. Step 4: Simplify right side
    755.64x = 593,175.92
  5. Step 5: Solve for x
    x = 593,175.92/755.64
  6. Step 6: Final answer
    x = 785.00

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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.