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Finding the Fourth Proportional to 1,160.09, 1,740.32 and 379.86

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Solution

The fourth proportional to 1,160.09, 1,740.32 and 379.86 is: 569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.09 : 1,740.32 = 379.86 : x
  2. Step 2: Convert to fraction form
    1,160.09/1,740.32 = 379.86/x
  3. Step 3: Cross multiply
    1,160.09x = 1,740.32 × 379.86
  4. Step 4: Simplify right side
    1,160.09x = 661,076.06
  5. Step 5: Solve for x
    x = 661,076.06/1,160.09
  6. Step 6: Final answer
    x = 569.85

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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.