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Finding the Fourth Proportional to 1,170.07, 1,755.35 and 348.27

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Solution

The fourth proportional to 1,170.07, 1,755.35 and 348.27 is: 522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.07 : 1,755.35 = 348.27 : x
  2. Step 2: Convert to fraction form
    1,170.07/1,755.35 = 348.27/x
  3. Step 3: Cross multiply
    1,170.07x = 1,755.35 × 348.27
  4. Step 4: Simplify right side
    1,170.07x = 611,335.74
  5. Step 5: Solve for x
    x = 611,335.74/1,170.07
  6. Step 6: Final answer
    x = 522.48

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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.