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Finding the Fourth Proportional to 840.99, 1,160.94 and 641.86

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Solution

The fourth proportional to 840.99, 1,160.94 and 641.86 is: 886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.99 : 1,160.94 = 641.86 : x
  2. Step 2: Convert to fraction form
    840.99/1,160.94 = 641.86/x
  3. Step 3: Cross multiply
    840.99x = 1,160.94 × 641.86
  4. Step 4: Simplify right side
    840.99x = 745,160.95
  5. Step 5: Solve for x
    x = 745,160.95/840.99
  6. Step 6: Final answer
    x = 886.05

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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.