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Finding the Fourth Proportional to 804.46, 1,207.05 and 457.78

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Solution

The fourth proportional to 804.46, 1,207.05 and 457.78 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.46 : 1,207.05 = 457.78 : x
  2. Step 2: Convert to fraction form
    804.46/1,207.05 = 457.78/x
  3. Step 3: Cross multiply
    804.46x = 1,207.05 × 457.78
  4. Step 4: Simplify right side
    804.46x = 552,563.35
  5. Step 5: Solve for x
    x = 552,563.35/804.46
  6. Step 6: Final answer
    x = 686.87

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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.