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Finding the Fourth Proportional to 755.64, 1,043.37 and 656.40

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Solution

The fourth proportional to 755.64, 1,043.37 and 656.40 is: 906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.64 : 1,043.37 = 656.40 : x
  2. Step 2: Convert to fraction form
    755.64/1,043.37 = 656.40/x
  3. Step 3: Cross multiply
    755.64x = 1,043.37 × 656.40
  4. Step 4: Simplify right side
    755.64x = 684,868.07
  5. Step 5: Solve for x
    x = 684,868.07/755.64
  6. Step 6: Final answer
    x = 906.34

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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.