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Finding the Fourth Proportional to 764.40, 1,144.88 and 467.10

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Solution

The fourth proportional to 764.40, 1,144.88 and 467.10 is: 699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.40 : 1,144.88 = 467.10 : x
  2. Step 2: Convert to fraction form
    764.40/1,144.88 = 467.10/x
  3. Step 3: Cross multiply
    764.40x = 1,144.88 × 467.10
  4. Step 4: Simplify right side
    764.40x = 534,775.49
  5. Step 5: Solve for x
    x = 534,775.49/764.40
  6. Step 6: Final answer
    x = 699.60

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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.