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Finding the Fourth Proportional to 472.15, 651.31 and 285.54

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Solution

The fourth proportional to 472.15, 651.31 and 285.54 is: 393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.15 : 651.31 = 285.54 : x
  2. Step 2: Convert to fraction form
    472.15/651.31 = 285.54/x
  3. Step 3: Cross multiply
    472.15x = 651.31 × 285.54
  4. Step 4: Simplify right side
    472.15x = 185,975.06
  5. Step 5: Solve for x
    x = 185,975.06/472.15
  6. Step 6: Final answer
    x = 393.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.