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Finding the Fourth Proportional to 804.91, 1,206.45 and 609.27

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Solution

The fourth proportional to 804.91, 1,206.45 and 609.27 is: 913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.91 : 1,206.45 = 609.27 : x
  2. Step 2: Convert to fraction form
    804.91/1,206.45 = 609.27/x
  3. Step 3: Cross multiply
    804.91x = 1,206.45 × 609.27
  4. Step 4: Simplify right side
    804.91x = 735,053.79
  5. Step 5: Solve for x
    x = 735,053.79/804.91
  6. Step 6: Final answer
    x = 913.21

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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.