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Finding the Fourth Proportional to 762.31, 1,142.55 and 351.37

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Solution

The fourth proportional to 762.31, 1,142.55 and 351.37 is: 526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.31 : 1,142.55 = 351.37 : x
  2. Step 2: Convert to fraction form
    762.31/1,142.55 = 351.37/x
  3. Step 3: Cross multiply
    762.31x = 1,142.55 × 351.37
  4. Step 4: Simplify right side
    762.31x = 401,457.79
  5. Step 5: Solve for x
    x = 401,457.79/762.31
  6. Step 6: Final answer
    x = 526.63

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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.