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Finding the Fourth Proportional to 1,522.71, 2,281.46 and 741.65

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Solution

The fourth proportional to 1,522.71, 2,281.46 and 741.65 is: 1,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.71 : 2,281.46 = 741.65 : x
  2. Step 2: Convert to fraction form
    1,522.71/2,281.46 = 741.65/x
  3. Step 3: Cross multiply
    1,522.71x = 2,281.46 × 741.65
  4. Step 4: Simplify right side
    1,522.71x = 1,692,029.69
  5. Step 5: Solve for x
    x = 1,692,029.69/1,522.71
  6. Step 6: Final answer
    x = 1,111.20

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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.