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Finding the Fourth Proportional to 762.16, 1,142.88 and 351.18

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Solution

The fourth proportional to 762.16, 1,142.88 and 351.18 is: 526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.16 : 1,142.88 = 351.18 : x
  2. Step 2: Convert to fraction form
    762.16/1,142.88 = 351.18/x
  3. Step 3: Cross multiply
    762.16x = 1,142.88 × 351.18
  4. Step 4: Simplify right side
    762.16x = 401,352.75
  5. Step 5: Solve for x
    x = 401,352.75/762.16
  6. Step 6: Final answer
    x = 526.60

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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.