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Finding the Fourth Proportional to 773.32, 1,156.74 and 588.64

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Solution

The fourth proportional to 773.32, 1,156.74 and 588.64 is: 880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.32 : 1,156.74 = 588.64 : x
  2. Step 2: Convert to fraction form
    773.32/1,156.74 = 588.64/x
  3. Step 3: Cross multiply
    773.32x = 1,156.74 × 588.64
  4. Step 4: Simplify right side
    773.32x = 680,903.43
  5. Step 5: Solve for x
    x = 680,903.43/773.32
  6. Step 6: Final answer
    x = 880.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.