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Finding the Fourth Proportional to 1,170.89, 1,755.85 and 477.09

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Solution

The fourth proportional to 1,170.89, 1,755.85 and 477.09 is: 715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.89 : 1,755.85 = 477.09 : x
  2. Step 2: Convert to fraction form
    1,170.89/1,755.85 = 477.09/x
  3. Step 3: Cross multiply
    1,170.89x = 1,755.85 × 477.09
  4. Step 4: Simplify right side
    1,170.89x = 837,698.48
  5. Step 5: Solve for x
    x = 837,698.48/1,170.89
  6. Step 6: Final answer
    x = 715.44

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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.