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Finding the Fourth Proportional to 1,139.06, 1,707.54 and 446.18

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Solution

The fourth proportional to 1,139.06, 1,707.54 and 446.18 is: 668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.06 : 1,707.54 = 446.18 : x
  2. Step 2: Convert to fraction form
    1,139.06/1,707.54 = 446.18/x
  3. Step 3: Cross multiply
    1,139.06x = 1,707.54 × 446.18
  4. Step 4: Simplify right side
    1,139.06x = 761,861.66
  5. Step 5: Solve for x
    x = 761,861.66/1,139.06
  6. Step 6: Final answer
    x = 668.85

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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.