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Finding the Fourth Proportional to 808.64, 1,115.86 and 477.20

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Solution

The fourth proportional to 808.64, 1,115.86 and 477.20 is: 658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.64 : 1,115.86 = 477.20 : x
  2. Step 2: Convert to fraction form
    808.64/1,115.86 = 477.20/x
  3. Step 3: Cross multiply
    808.64x = 1,115.86 × 477.20
  4. Step 4: Simplify right side
    808.64x = 532,488.39
  5. Step 5: Solve for x
    x = 532,488.39/808.64
  6. Step 6: Final answer
    x = 658.50

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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.