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Finding the Fourth Proportional to 836.64, 1,155.12 and 538.08

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Solution

The fourth proportional to 836.64, 1,155.12 and 538.08 is: 742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.64 : 1,155.12 = 538.08 : x
  2. Step 2: Convert to fraction form
    836.64/1,155.12 = 538.08/x
  3. Step 3: Cross multiply
    836.64x = 1,155.12 × 538.08
  4. Step 4: Simplify right side
    836.64x = 621,546.97
  5. Step 5: Solve for x
    x = 621,546.97/836.64
  6. Step 6: Final answer
    x = 742.91

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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.