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Finding the Fourth Proportional to 1,126.34, 1,690.19 and 714

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Solution

The fourth proportional to 1,126.34, 1,690.19 and 714 is: 1,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.34 : 1,690.19 = 714 : x
  2. Step 2: Convert to fraction form
    1,126.34/1,690.19 = 714/x
  3. Step 3: Cross multiply
    1,126.34x = 1,690.19 × 714
  4. Step 4: Simplify right side
    1,126.34x = 1,206,795.66
  5. Step 5: Solve for x
    x = 1,206,795.66/1,126.34
  6. Step 6: Final answer
    x = 1,071.43

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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.