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Finding the Fourth Proportional to 764.64, 1,147.68 and 508.32

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Solution

The fourth proportional to 764.64, 1,147.68 and 508.32 is: 762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,147.68 = 508.32 : x
  2. Step 2: Convert to fraction form
    764.64/1,147.68 = 508.32/x
  3. Step 3: Cross multiply
    764.64x = 1,147.68 × 508.32
  4. Step 4: Simplify right side
    764.64x = 583,388.70
  5. Step 5: Solve for x
    x = 583,388.70/764.64
  6. Step 6: Final answer
    x = 762.96

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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.