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Finding the Fourth Proportional to 1,374.61, 2,061.73 and 450.06

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Solution

The fourth proportional to 1,374.61, 2,061.73 and 450.06 is: 675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.61 : 2,061.73 = 450.06 : x
  2. Step 2: Convert to fraction form
    1,374.61/2,061.73 = 450.06/x
  3. Step 3: Cross multiply
    1,374.61x = 2,061.73 × 450.06
  4. Step 4: Simplify right side
    1,374.61x = 927,900.83
  5. Step 5: Solve for x
    x = 927,900.83/1,374.61
  6. Step 6: Final answer
    x = 675.03

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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.