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Finding the Fourth Proportional to 1,170.04, 1,755.45 and 429.88

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Solution

The fourth proportional to 1,170.04, 1,755.45 and 429.88 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.04 : 1,755.45 = 429.88 : x
  2. Step 2: Convert to fraction form
    1,170.04/1,755.45 = 429.88/x
  3. Step 3: Cross multiply
    1,170.04x = 1,755.45 × 429.88
  4. Step 4: Simplify right side
    1,170.04x = 754,632.85
  5. Step 5: Solve for x
    x = 754,632.85/1,170.04
  6. Step 6: Final answer
    x = 644.96

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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.