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Finding the Fourth Proportional to 757.64, 1,043.10 and 659.40

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Solution

The fourth proportional to 757.64, 1,043.10 and 659.40 is: 907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.64 : 1,043.10 = 659.40 : x
  2. Step 2: Convert to fraction form
    757.64/1,043.10 = 659.40/x
  3. Step 3: Cross multiply
    757.64x = 1,043.10 × 659.40
  4. Step 4: Simplify right side
    757.64x = 687,820.14
  5. Step 5: Solve for x
    x = 687,820.14/757.64
  6. Step 6: Final answer
    x = 907.85

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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.