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Finding the Fourth Proportional to 836.32, 1,256.75 and 446.59

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Solution

The fourth proportional to 836.32, 1,256.75 and 446.59 is: 671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.32 : 1,256.75 = 446.59 : x
  2. Step 2: Convert to fraction form
    836.32/1,256.75 = 446.59/x
  3. Step 3: Cross multiply
    836.32x = 1,256.75 × 446.59
  4. Step 4: Simplify right side
    836.32x = 561,253.00
  5. Step 5: Solve for x
    x = 561,253.00/836.32
  6. Step 6: Final answer
    x = 671.10

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