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Finding the Fourth Proportional to 804.95, 1,208.40 and 512.45

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Solution

The fourth proportional to 804.95, 1,208.40 and 512.45 is: 769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.95 : 1,208.40 = 512.45 : x
  2. Step 2: Convert to fraction form
    804.95/1,208.40 = 512.45/x
  3. Step 3: Cross multiply
    804.95x = 1,208.40 × 512.45
  4. Step 4: Simplify right side
    804.95x = 619,244.58
  5. Step 5: Solve for x
    x = 619,244.58/804.95
  6. Step 6: Final answer
    x = 769.30

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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.