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Finding the Fourth Proportional to 804.72, 1,205.16 and 462

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Solution

The fourth proportional to 804.72, 1,205.16 and 462 is: 691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.72 : 1,205.16 = 462 : x
  2. Step 2: Convert to fraction form
    804.72/1,205.16 = 462/x
  3. Step 3: Cross multiply
    804.72x = 1,205.16 × 462
  4. Step 4: Simplify right side
    804.72x = 556,783.92
  5. Step 5: Solve for x
    x = 556,783.92/804.72
  6. Step 6: Final answer
    x = 691.90

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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.