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Finding the Fourth Proportional to 1,126.34, 1,689.51 and 395.75

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Solution

The fourth proportional to 1,126.34, 1,689.51 and 395.75 is: 593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.34 : 1,689.51 = 395.75 : x
  2. Step 2: Convert to fraction form
    1,126.34/1,689.51 = 395.75/x
  3. Step 3: Cross multiply
    1,126.34x = 1,689.51 × 395.75
  4. Step 4: Simplify right side
    1,126.34x = 668,615.13
  5. Step 5: Solve for x
    x = 668,615.13/1,126.34
  6. Step 6: Final answer
    x = 593.62

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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.