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Finding the Fourth Proportional to 419.31, 581.00 and 412.02

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Solution

The fourth proportional to 419.31, 581.00 and 412.02 is: 570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 581.00 = 412.02 : x
  2. Step 2: Convert to fraction form
    419.31/581.00 = 412.02/x
  3. Step 3: Cross multiply
    419.31x = 581.00 × 412.02
  4. Step 4: Simplify right side
    419.31x = 239,381.56
  5. Step 5: Solve for x
    x = 239,381.56/419.31
  6. Step 6: Final answer
    x = 570.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.