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Finding the Fourth Proportional to 1,168.84, 1,611.30 and 1,037.80

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Solution

The fourth proportional to 1,168.84, 1,611.30 and 1,037.80 is: 1,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.84 : 1,611.30 = 1,037.80 : x
  2. Step 2: Convert to fraction form
    1,168.84/1,611.30 = 1,037.80/x
  3. Step 3: Cross multiply
    1,168.84x = 1,611.30 × 1,037.80
  4. Step 4: Simplify right side
    1,168.84x = 1,672,207.14
  5. Step 5: Solve for x
    x = 1,672,207.14/1,168.84
  6. Step 6: Final answer
    x = 1,430.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.