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Finding the Fourth Proportional to 1,404, 1,937.52 and 783

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Solution

The fourth proportional to 1,404, 1,937.52 and 783 is: 1,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404 : 1,937.52 = 783 : x
  2. Step 2: Convert to fraction form
    1,404/1,937.52 = 783/x
  3. Step 3: Cross multiply
    1,404x = 1,937.52 × 783
  4. Step 4: Simplify right side
    1,404x = 1,517,078.16
  5. Step 5: Solve for x
    x = 1,517,078.16/1,404
  6. Step 6: Final answer
    x = 1,080.54

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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.