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Finding the Fourth Proportional to 719.91, 1,079.87 and 334.89

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Solution

The fourth proportional to 719.91, 1,079.87 and 334.89 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.91 : 1,079.87 = 334.89 : x
  2. Step 2: Convert to fraction form
    719.91/1,079.87 = 334.89/x
  3. Step 3: Cross multiply
    719.91x = 1,079.87 × 334.89
  4. Step 4: Simplify right side
    719.91x = 361,635.99
  5. Step 5: Solve for x
    x = 361,635.99/719.91
  6. Step 6: Final answer
    x = 502.34

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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.