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Finding the Fourth Proportional to 761.66, 1,142.86 and 350.75

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Solution

The fourth proportional to 761.66, 1,142.86 and 350.75 is: 526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.66 : 1,142.86 = 350.75 : x
  2. Step 2: Convert to fraction form
    761.66/1,142.86 = 350.75/x
  3. Step 3: Cross multiply
    761.66x = 1,142.86 × 350.75
  4. Step 4: Simplify right side
    761.66x = 400,860.13
  5. Step 5: Solve for x
    x = 400,860.13/761.66
  6. Step 6: Final answer
    x = 526.30

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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.