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Finding the Fourth Proportional to 504.53, 695.99 and 338.79

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Solution

The fourth proportional to 504.53, 695.99 and 338.79 is: 467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.53 : 695.99 = 338.79 : x
  2. Step 2: Convert to fraction form
    504.53/695.99 = 338.79/x
  3. Step 3: Cross multiply
    504.53x = 695.99 × 338.79
  4. Step 4: Simplify right side
    504.53x = 235,794.45
  5. Step 5: Solve for x
    x = 235,794.45/504.53
  6. Step 6: Final answer
    x = 467.35

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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.