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Finding the Fourth Proportional to 836.95, 1,155.94 and 570.94

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Solution

The fourth proportional to 836.95, 1,155.94 and 570.94 is: 788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.95 : 1,155.94 = 570.94 : x
  2. Step 2: Convert to fraction form
    836.95/1,155.94 = 570.94/x
  3. Step 3: Cross multiply
    836.95x = 1,155.94 × 570.94
  4. Step 4: Simplify right side
    836.95x = 659,972.38
  5. Step 5: Solve for x
    x = 659,972.38/836.95
  6. Step 6: Final answer
    x = 788.54

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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.