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Finding the Fourth Proportional to 836.16, 1,155 and 573.72

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Solution

The fourth proportional to 836.16, 1,155 and 573.72 is: 792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,155 = 573.72 : x
  2. Step 2: Convert to fraction form
    836.16/1,155 = 573.72/x
  3. Step 3: Cross multiply
    836.16x = 1,155 × 573.72
  4. Step 4: Simplify right side
    836.16x = 662,646.60
  5. Step 5: Solve for x
    x = 662,646.60/836.16
  6. Step 6: Final answer
    x = 792.49

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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.