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Finding the Fourth Proportional to 486.14, 670.50 and 392.72

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Solution

The fourth proportional to 486.14, 670.50 and 392.72 is: 541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 670.50 = 392.72 : x
  2. Step 2: Convert to fraction form
    486.14/670.50 = 392.72/x
  3. Step 3: Cross multiply
    486.14x = 670.50 × 392.72
  4. Step 4: Simplify right side
    486.14x = 263,315.41
  5. Step 5: Solve for x
    x = 263,315.41/486.14
  6. Step 6: Final answer
    x = 541.65

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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.