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Finding the Fourth Proportional to 762.78, 1,142.30 and 437.16

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Solution

The fourth proportional to 762.78, 1,142.30 and 437.16 is: 654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,142.30 = 437.16 : x
  2. Step 2: Convert to fraction form
    762.78/1,142.30 = 437.16/x
  3. Step 3: Cross multiply
    762.78x = 1,142.30 × 437.16
  4. Step 4: Simplify right side
    762.78x = 499,367.87
  5. Step 5: Solve for x
    x = 499,367.87/762.78
  6. Step 6: Final answer
    x = 654.67

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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.