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Finding the Fourth Proportional to 460.99, 635.79 and 391.24

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Solution

The fourth proportional to 460.99, 635.79 and 391.24 is: 539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.99 : 635.79 = 391.24 : x
  2. Step 2: Convert to fraction form
    460.99/635.79 = 391.24/x
  3. Step 3: Cross multiply
    460.99x = 635.79 × 391.24
  4. Step 4: Simplify right side
    460.99x = 248,746.48
  5. Step 5: Solve for x
    x = 248,746.48/460.99
  6. Step 6: Final answer
    x = 539.59

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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.