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Finding the Fourth Proportional to 1,167.33, 1,750.92 and 289.78

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Solution

The fourth proportional to 1,167.33, 1,750.92 and 289.78 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.33 : 1,750.92 = 289.78 : x
  2. Step 2: Convert to fraction form
    1,167.33/1,750.92 = 289.78/x
  3. Step 3: Cross multiply
    1,167.33x = 1,750.92 × 289.78
  4. Step 4: Simplify right side
    1,167.33x = 507,381.60
  5. Step 5: Solve for x
    x = 507,381.60/1,167.33
  6. Step 6: Final answer
    x = 434.65

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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.