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Finding the Fourth Proportional to 472.29, 706.69 and 286.53

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Solution

The fourth proportional to 472.29, 706.69 and 286.53 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.29 : 706.69 = 286.53 : x
  2. Step 2: Convert to fraction form
    472.29/706.69 = 286.53/x
  3. Step 3: Cross multiply
    472.29x = 706.69 × 286.53
  4. Step 4: Simplify right side
    472.29x = 202,487.89
  5. Step 5: Solve for x
    x = 202,487.89/472.29
  6. Step 6: Final answer
    x = 428.74

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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.