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Finding the Fourth Proportional to 762.34, 1,142.61 and 351.10

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Solution

The fourth proportional to 762.34, 1,142.61 and 351.10 is: 526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.34 : 1,142.61 = 351.10 : x
  2. Step 2: Convert to fraction form
    762.34/1,142.61 = 351.10/x
  3. Step 3: Cross multiply
    762.34x = 1,142.61 × 351.10
  4. Step 4: Simplify right side
    762.34x = 401,170.37
  5. Step 5: Solve for x
    x = 401,170.37/762.34
  6. Step 6: Final answer
    x = 526.24

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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.