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Finding the Fourth Proportional to 472.50, 651.81 and 285.86

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Solution

The fourth proportional to 472.50, 651.81 and 285.86 is: 394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 651.81 = 285.86 : x
  2. Step 2: Convert to fraction form
    472.50/651.81 = 285.86/x
  3. Step 3: Cross multiply
    472.50x = 651.81 × 285.86
  4. Step 4: Simplify right side
    472.50x = 186,326.41
  5. Step 5: Solve for x
    x = 186,326.41/472.50
  6. Step 6: Final answer
    x = 394.35

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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.