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Finding the Fourth Proportional to 471.90, 651 and 285.41

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Solution

The fourth proportional to 471.90, 651 and 285.41 is: 393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.90 : 651 = 285.41 : x
  2. Step 2: Convert to fraction form
    471.90/651 = 285.41/x
  3. Step 3: Cross multiply
    471.90x = 651 × 285.41
  4. Step 4: Simplify right side
    471.90x = 185,798.66
  5. Step 5: Solve for x
    x = 185,798.66/471.90
  6. Step 6: Final answer
    x = 393.72

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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.