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Finding the Fourth Proportional to 471.15, 650.25 and 392.35

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Solution

The fourth proportional to 471.15, 650.25 and 392.35 is: 541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.15 : 650.25 = 392.35 : x
  2. Step 2: Convert to fraction form
    471.15/650.25 = 392.35/x
  3. Step 3: Cross multiply
    471.15x = 650.25 × 392.35
  4. Step 4: Simplify right side
    471.15x = 255,128.11
  5. Step 5: Solve for x
    x = 255,128.11/471.15
  6. Step 6: Final answer
    x = 541.50

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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.