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Finding the Fourth Proportional to 808.86, 1,115.91 and 498.54

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Solution

The fourth proportional to 808.86, 1,115.91 and 498.54 is: 687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.86 : 1,115.91 = 498.54 : x
  2. Step 2: Convert to fraction form
    808.86/1,115.91 = 498.54/x
  3. Step 3: Cross multiply
    808.86x = 1,115.91 × 498.54
  4. Step 4: Simplify right side
    808.86x = 556,325.77
  5. Step 5: Solve for x
    x = 556,325.77/808.86
  6. Step 6: Final answer
    x = 687.79

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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.