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Finding the Fourth Proportional to 471.64, 705.88 and 345.88

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Solution

The fourth proportional to 471.64, 705.88 and 345.88 is: 517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 705.88 = 345.88 : x
  2. Step 2: Convert to fraction form
    471.64/705.88 = 345.88/x
  3. Step 3: Cross multiply
    471.64x = 705.88 × 345.88
  4. Step 4: Simplify right side
    471.64x = 244,149.77
  5. Step 5: Solve for x
    x = 244,149.77/471.64
  6. Step 6: Final answer
    x = 517.66

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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.