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Finding the Fourth Proportional to 808.12, 1,210.42 and 500.05

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Solution

The fourth proportional to 808.12, 1,210.42 and 500.05 is: 748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.12 : 1,210.42 = 500.05 : x
  2. Step 2: Convert to fraction form
    808.12/1,210.42 = 500.05/x
  3. Step 3: Cross multiply
    808.12x = 1,210.42 × 500.05
  4. Step 4: Simplify right side
    808.12x = 605,270.52
  5. Step 5: Solve for x
    x = 605,270.52/808.12
  6. Step 6: Final answer
    x = 748.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.