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Finding the Fourth Proportional to 1,153.78, 1,731 and 332.09

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Solution

The fourth proportional to 1,153.78, 1,731 and 332.09 is: 498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.78 : 1,731 = 332.09 : x
  2. Step 2: Convert to fraction form
    1,153.78/1,731 = 332.09/x
  3. Step 3: Cross multiply
    1,153.78x = 1,731 × 332.09
  4. Step 4: Simplify right side
    1,153.78x = 574,847.79
  5. Step 5: Solve for x
    x = 574,847.79/1,153.78
  6. Step 6: Final answer
    x = 498.23

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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.