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Finding the Fourth Proportional to 1,528.41, 2,292.96 and 488.50

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Solution

The fourth proportional to 1,528.41, 2,292.96 and 488.50 is: 732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.41 : 2,292.96 = 488.50 : x
  2. Step 2: Convert to fraction form
    1,528.41/2,292.96 = 488.50/x
  3. Step 3: Cross multiply
    1,528.41x = 2,292.96 × 488.50
  4. Step 4: Simplify right side
    1,528.41x = 1,120,097.05
  5. Step 5: Solve for x
    x = 1,120,097.05/1,528.41
  6. Step 6: Final answer
    x = 732.85

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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.