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Finding the Fourth Proportional to 757.50, 1,134.90 and 346.02

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Solution

The fourth proportional to 757.50, 1,134.90 and 346.02 is: 518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.50 : 1,134.90 = 346.02 : x
  2. Step 2: Convert to fraction form
    757.50/1,134.90 = 346.02/x
  3. Step 3: Cross multiply
    757.50x = 1,134.90 × 346.02
  4. Step 4: Simplify right side
    757.50x = 392,698.10
  5. Step 5: Solve for x
    x = 392,698.10/757.50
  6. Step 6: Final answer
    x = 518.41

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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.