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Finding the Fourth Proportional to 809.20, 1,214.40 and 603.13

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Solution

The fourth proportional to 809.20, 1,214.40 and 603.13 is: 905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.20 : 1,214.40 = 603.13 : x
  2. Step 2: Convert to fraction form
    809.20/1,214.40 = 603.13/x
  3. Step 3: Cross multiply
    809.20x = 1,214.40 × 603.13
  4. Step 4: Simplify right side
    809.20x = 732,441.07
  5. Step 5: Solve for x
    x = 732,441.07/809.20
  6. Step 6: Final answer
    x = 905.14

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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.