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Finding the Fourth Proportional to 470.68, 706.02 and 349.18

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Solution

The fourth proportional to 470.68, 706.02 and 349.18 is: 523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 706.02 = 349.18 : x
  2. Step 2: Convert to fraction form
    470.68/706.02 = 349.18/x
  3. Step 3: Cross multiply
    470.68x = 706.02 × 349.18
  4. Step 4: Simplify right side
    470.68x = 246,528.06
  5. Step 5: Solve for x
    x = 246,528.06/470.68
  6. Step 6: Final answer
    x = 523.77

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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.