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Finding the Fourth Proportional to 504.28, 695.06 and 338.42

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Solution

The fourth proportional to 504.28, 695.06 and 338.42 is: 466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.28 : 695.06 = 338.42 : x
  2. Step 2: Convert to fraction form
    504.28/695.06 = 338.42/x
  3. Step 3: Cross multiply
    504.28x = 695.06 × 338.42
  4. Step 4: Simplify right side
    504.28x = 235,222.21
  5. Step 5: Solve for x
    x = 235,222.21/504.28
  6. Step 6: Final answer
    x = 466.45

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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.