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Finding the Fourth Proportional to 473.70, 709.86 and 278.76

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Solution

The fourth proportional to 473.70, 709.86 and 278.76 is: 417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.70 : 709.86 = 278.76 : x
  2. Step 2: Convert to fraction form
    473.70/709.86 = 278.76/x
  3. Step 3: Cross multiply
    473.70x = 709.86 × 278.76
  4. Step 4: Simplify right side
    473.70x = 197,880.57
  5. Step 5: Solve for x
    x = 197,880.57/473.70
  6. Step 6: Final answer
    x = 417.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.