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Finding the Fourth Proportional to 1,387.15, 1,914.23 and 757.66

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Solution

The fourth proportional to 1,387.15, 1,914.23 and 757.66 is: 1,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.15 : 1,914.23 = 757.66 : x
  2. Step 2: Convert to fraction form
    1,387.15/1,914.23 = 757.66/x
  3. Step 3: Cross multiply
    1,387.15x = 1,914.23 × 757.66
  4. Step 4: Simplify right side
    1,387.15x = 1,450,325.93
  5. Step 5: Solve for x
    x = 1,450,325.93/1,387.15
  6. Step 6: Final answer
    x = 1,045.55

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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.