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Finding the Fourth Proportional to 1,170.88, 1,756.28 and 305.19

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Solution

The fourth proportional to 1,170.88, 1,756.28 and 305.19 is: 457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.88 : 1,756.28 = 305.19 : x
  2. Step 2: Convert to fraction form
    1,170.88/1,756.28 = 305.19/x
  3. Step 3: Cross multiply
    1,170.88x = 1,756.28 × 305.19
  4. Step 4: Simplify right side
    1,170.88x = 535,999.86
  5. Step 5: Solve for x
    x = 535,999.86/1,170.88
  6. Step 6: Final answer
    x = 457.78

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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.