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Finding the Fourth Proportional to 471.64, 705.86 and 355.79

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Solution

The fourth proportional to 471.64, 705.86 and 355.79 is: 532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 705.86 = 355.79 : x
  2. Step 2: Convert to fraction form
    471.64/705.86 = 355.79/x
  3. Step 3: Cross multiply
    471.64x = 705.86 × 355.79
  4. Step 4: Simplify right side
    471.64x = 251,141.25
  5. Step 5: Solve for x
    x = 251,141.25/471.64
  6. Step 6: Final answer
    x = 532.49

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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.