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Finding the Fourth Proportional to 485.35, 670.21 and 392.60

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Solution

The fourth proportional to 485.35, 670.21 and 392.60 is: 542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.35 : 670.21 = 392.60 : x
  2. Step 2: Convert to fraction form
    485.35/670.21 = 392.60/x
  3. Step 3: Cross multiply
    485.35x = 670.21 × 392.60
  4. Step 4: Simplify right side
    485.35x = 263,125.14
  5. Step 5: Solve for x
    x = 263,125.14/485.35
  6. Step 6: Final answer
    x = 542.14

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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.