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Finding the Fourth Proportional to 472.56, 705.18 and 468.96

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Solution

The fourth proportional to 472.56, 705.18 and 468.96 is: 699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 705.18 = 468.96 : x
  2. Step 2: Convert to fraction form
    472.56/705.18 = 468.96/x
  3. Step 3: Cross multiply
    472.56x = 705.18 × 468.96
  4. Step 4: Simplify right side
    472.56x = 330,701.21
  5. Step 5: Solve for x
    x = 330,701.21/472.56
  6. Step 6: Final answer
    x = 699.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.