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Finding the Fourth Proportional to 1,596.25, 2,394.52 and 442.01

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Solution

The fourth proportional to 1,596.25, 2,394.52 and 442.01 is: 663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.25 : 2,394.52 = 442.01 : x
  2. Step 2: Convert to fraction form
    1,596.25/2,394.52 = 442.01/x
  3. Step 3: Cross multiply
    1,596.25x = 2,394.52 × 442.01
  4. Step 4: Simplify right side
    1,596.25x = 1,058,399.58
  5. Step 5: Solve for x
    x = 1,058,399.58/1,596.25
  6. Step 6: Final answer
    x = 663.05

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