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Finding the Fourth Proportional to 473.40, 709.44 and 278.58

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Solution

The fourth proportional to 473.40, 709.44 and 278.58 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 709.44 = 278.58 : x
  2. Step 2: Convert to fraction form
    473.40/709.44 = 278.58/x
  3. Step 3: Cross multiply
    473.40x = 709.44 × 278.58
  4. Step 4: Simplify right side
    473.40x = 197,635.80
  5. Step 5: Solve for x
    x = 197,635.80/473.40
  6. Step 6: Final answer
    x = 417.48

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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.