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Finding the Fourth Proportional to 804.99, 1,209.53 and 512.63

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Solution

The fourth proportional to 804.99, 1,209.53 and 512.63 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.99 : 1,209.53 = 512.63 : x
  2. Step 2: Convert to fraction form
    804.99/1,209.53 = 512.63/x
  3. Step 3: Cross multiply
    804.99x = 1,209.53 × 512.63
  4. Step 4: Simplify right side
    804.99x = 620,032.75
  5. Step 5: Solve for x
    x = 620,032.75/804.99
  6. Step 6: Final answer
    x = 770.24

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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.