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Finding the Fourth Proportional to 457.82, 685 and 279.06

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Solution

The fourth proportional to 457.82, 685 and 279.06 is: 417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 685 = 279.06 : x
  2. Step 2: Convert to fraction form
    457.82/685 = 279.06/x
  3. Step 3: Cross multiply
    457.82x = 685 × 279.06
  4. Step 4: Simplify right side
    457.82x = 191,156.10
  5. Step 5: Solve for x
    x = 191,156.10/457.82
  6. Step 6: Final answer
    x = 417.54

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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.