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Finding the Fourth Proportional to 929.34, 1,392.39 and 757.08

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Solution

The fourth proportional to 929.34, 1,392.39 and 757.08 is: 1,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.34 : 1,392.39 = 757.08 : x
  2. Step 2: Convert to fraction form
    929.34/1,392.39 = 757.08/x
  3. Step 3: Cross multiply
    929.34x = 1,392.39 × 757.08
  4. Step 4: Simplify right side
    929.34x = 1,054,150.62
  5. Step 5: Solve for x
    x = 1,054,150.62/929.34
  6. Step 6: Final answer
    x = 1,134.30

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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.