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Finding the Fourth Proportional to 1,407.88, 1,942.88 and 786.88

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Solution

The fourth proportional to 1,407.88, 1,942.88 and 786.88 is: 1,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.88 : 1,942.88 = 786.88 : x
  2. Step 2: Convert to fraction form
    1,407.88/1,942.88 = 786.88/x
  3. Step 3: Cross multiply
    1,407.88x = 1,942.88 × 786.88
  4. Step 4: Simplify right side
    1,407.88x = 1,528,813.41
  5. Step 5: Solve for x
    x = 1,528,813.41/1,407.88
  6. Step 6: Final answer
    x = 1,085.90

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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.