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Finding the Fourth Proportional to 1,138.76, 1,707.76 and 435.81

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Solution

The fourth proportional to 1,138.76, 1,707.76 and 435.81 is: 653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.76 : 1,707.76 = 435.81 : x
  2. Step 2: Convert to fraction form
    1,138.76/1,707.76 = 435.81/x
  3. Step 3: Cross multiply
    1,138.76x = 1,707.76 × 435.81
  4. Step 4: Simplify right side
    1,138.76x = 744,257.90
  5. Step 5: Solve for x
    x = 744,257.90/1,138.76
  6. Step 6: Final answer
    x = 653.57

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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.