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Finding the Fourth Proportional to 804.90, 1,208.13 and 440.46

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Solution

The fourth proportional to 804.90, 1,208.13 and 440.46 is: 661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.90 : 1,208.13 = 440.46 : x
  2. Step 2: Convert to fraction form
    804.90/1,208.13 = 440.46/x
  3. Step 3: Cross multiply
    804.90x = 1,208.13 × 440.46
  4. Step 4: Simplify right side
    804.90x = 532,132.94
  5. Step 5: Solve for x
    x = 532,132.94/804.90
  6. Step 6: Final answer
    x = 661.12

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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.