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Finding the Fourth Proportional to 764.18, 1,145.63 and 393.57

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Solution

The fourth proportional to 764.18, 1,145.63 and 393.57 is: 590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.18 : 1,145.63 = 393.57 : x
  2. Step 2: Convert to fraction form
    764.18/1,145.63 = 393.57/x
  3. Step 3: Cross multiply
    764.18x = 1,145.63 × 393.57
  4. Step 4: Simplify right side
    764.18x = 450,880.77
  5. Step 5: Solve for x
    x = 450,880.77/764.18
  6. Step 6: Final answer
    x = 590.02

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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.