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Finding the Fourth Proportional to 1,528.78, 2,293.17 and 374.53

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Solution

The fourth proportional to 1,528.78, 2,293.17 and 374.53 is: 561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.78 : 2,293.17 = 374.53 : x
  2. Step 2: Convert to fraction form
    1,528.78/2,293.17 = 374.53/x
  3. Step 3: Cross multiply
    1,528.78x = 2,293.17 × 374.53
  4. Step 4: Simplify right side
    1,528.78x = 858,860.96
  5. Step 5: Solve for x
    x = 858,860.96/1,528.78
  6. Step 6: Final answer
    x = 561.80

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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.