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Finding the Fourth Proportional to 419.92, 625.72 and 401.32

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Solution

The fourth proportional to 419.92, 625.72 and 401.32 is: 598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.92 : 625.72 = 401.32 : x
  2. Step 2: Convert to fraction form
    419.92/625.72 = 401.32/x
  3. Step 3: Cross multiply
    419.92x = 625.72 × 401.32
  4. Step 4: Simplify right side
    419.92x = 251,113.95
  5. Step 5: Solve for x
    x = 251,113.95/419.92
  6. Step 6: Final answer
    x = 598.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.