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Finding the Fourth Proportional to 504.08, 695.36 and 338.32

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Solution

The fourth proportional to 504.08, 695.36 and 338.32 is: 466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.08 : 695.36 = 338.32 : x
  2. Step 2: Convert to fraction form
    504.08/695.36 = 338.32/x
  3. Step 3: Cross multiply
    504.08x = 695.36 × 338.32
  4. Step 4: Simplify right side
    504.08x = 235,254.20
  5. Step 5: Solve for x
    x = 235,254.20/504.08
  6. Step 6: Final answer
    x = 466.70

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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.