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Finding the Fourth Proportional to 485.77, 725.70 and 311.04

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Solution

The fourth proportional to 485.77, 725.70 and 311.04 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.77 : 725.70 = 311.04 : x
  2. Step 2: Convert to fraction form
    485.77/725.70 = 311.04/x
  3. Step 3: Cross multiply
    485.77x = 725.70 × 311.04
  4. Step 4: Simplify right side
    485.77x = 225,721.73
  5. Step 5: Solve for x
    x = 225,721.73/485.77
  6. Step 6: Final answer
    x = 464.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.