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Finding the Fourth Proportional to 1,574.67, 2,361.96 and 420.42

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Solution

The fourth proportional to 1,574.67, 2,361.96 and 420.42 is: 630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.67 : 2,361.96 = 420.42 : x
  2. Step 2: Convert to fraction form
    1,574.67/2,361.96 = 420.42/x
  3. Step 3: Cross multiply
    1,574.67x = 2,361.96 × 420.42
  4. Step 4: Simplify right side
    1,574.67x = 993,015.22
  5. Step 5: Solve for x
    x = 993,015.22/1,574.67
  6. Step 6: Final answer
    x = 630.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.