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Finding the Fourth Proportional to 419.47, 625.01 and 400.84

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Solution

The fourth proportional to 419.47, 625.01 and 400.84 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.47 : 625.01 = 400.84 : x
  2. Step 2: Convert to fraction form
    419.47/625.01 = 400.84/x
  3. Step 3: Cross multiply
    419.47x = 625.01 × 400.84
  4. Step 4: Simplify right side
    419.47x = 250,529.01
  5. Step 5: Solve for x
    x = 250,529.01/419.47
  6. Step 6: Final answer
    x = 597.25

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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.