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Finding the Fourth Proportional to 661.32, 907.41 and 659.40

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Solution

The fourth proportional to 661.32, 907.41 and 659.40 is: 904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.32 : 907.41 = 659.40 : x
  2. Step 2: Convert to fraction form
    661.32/907.41 = 659.40/x
  3. Step 3: Cross multiply
    661.32x = 907.41 × 659.40
  4. Step 4: Simplify right side
    661.32x = 598,346.15
  5. Step 5: Solve for x
    x = 598,346.15/661.32
  6. Step 6: Final answer
    x = 904.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.