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Finding the Fourth Proportional to 808.35, 1,210.86 and 588.84

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Solution

The fourth proportional to 808.35, 1,210.86 and 588.84 is: 882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.35 : 1,210.86 = 588.84 : x
  2. Step 2: Convert to fraction form
    808.35/1,210.86 = 588.84/x
  3. Step 3: Cross multiply
    808.35x = 1,210.86 × 588.84
  4. Step 4: Simplify right side
    808.35x = 713,002.80
  5. Step 5: Solve for x
    x = 713,002.80/808.35
  6. Step 6: Final answer
    x = 882.05

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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.