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Finding the Fourth Proportional to 836.96, 1,155.55 and 522.69

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Solution

The fourth proportional to 836.96, 1,155.55 and 522.69 is: 721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.96 : 1,155.55 = 522.69 : x
  2. Step 2: Convert to fraction form
    836.96/1,155.55 = 522.69/x
  3. Step 3: Cross multiply
    836.96x = 1,155.55 × 522.69
  4. Step 4: Simplify right side
    836.96x = 603,994.43
  5. Step 5: Solve for x
    x = 603,994.43/836.96
  6. Step 6: Final answer
    x = 721.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.