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Finding the Fourth Proportional to 1,149.21, 1,715 and 1,026.19

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Solution

The fourth proportional to 1,149.21, 1,715 and 1,026.19 is: 1,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.21 : 1,715 = 1,026.19 : x
  2. Step 2: Convert to fraction form
    1,149.21/1,715 = 1,026.19/x
  3. Step 3: Cross multiply
    1,149.21x = 1,715 × 1,026.19
  4. Step 4: Simplify right side
    1,149.21x = 1,759,915.85
  5. Step 5: Solve for x
    x = 1,759,915.85/1,149.21
  6. Step 6: Final answer
    x = 1,531.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.