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Finding the Fourth Proportional to 1,528.97, 2,293.46 and 374.72

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Solution

The fourth proportional to 1,528.97, 2,293.46 and 374.72 is: 562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.97 : 2,293.46 = 374.72 : x
  2. Step 2: Convert to fraction form
    1,528.97/2,293.46 = 374.72/x
  3. Step 3: Cross multiply
    1,528.97x = 2,293.46 × 374.72
  4. Step 4: Simplify right side
    1,528.97x = 859,391.99
  5. Step 5: Solve for x
    x = 859,391.99/1,528.97
  6. Step 6: Final answer
    x = 562.07

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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.