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Finding the Fourth Proportional to 808.74, 1,115.78 and 477.06

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Solution

The fourth proportional to 808.74, 1,115.78 and 477.06 is: 658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.74 : 1,115.78 = 477.06 : x
  2. Step 2: Convert to fraction form
    808.74/1,115.78 = 477.06/x
  3. Step 3: Cross multiply
    808.74x = 1,115.78 × 477.06
  4. Step 4: Simplify right side
    808.74x = 532,294.01
  5. Step 5: Solve for x
    x = 532,294.01/808.74
  6. Step 6: Final answer
    x = 658.18

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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.