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Finding the Fourth Proportional to 808.13, 1,115.16 and 476.48

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Solution

The fourth proportional to 808.13, 1,115.16 and 476.48 is: 657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.13 : 1,115.16 = 476.48 : x
  2. Step 2: Convert to fraction form
    808.13/1,115.16 = 476.48/x
  3. Step 3: Cross multiply
    808.13x = 1,115.16 × 476.48
  4. Step 4: Simplify right side
    808.13x = 531,345.86
  5. Step 5: Solve for x
    x = 531,345.86/808.13
  6. Step 6: Final answer
    x = 657.50

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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.