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Finding the Fourth Proportional to 485.37, 670.02 and 310.68

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Solution

The fourth proportional to 485.37, 670.02 and 310.68 is: 428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.37 : 670.02 = 310.68 : x
  2. Step 2: Convert to fraction form
    485.37/670.02 = 310.68/x
  3. Step 3: Cross multiply
    485.37x = 670.02 × 310.68
  4. Step 4: Simplify right side
    485.37x = 208,161.81
  5. Step 5: Solve for x
    x = 208,161.81/485.37
  6. Step 6: Final answer
    x = 428.87

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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.