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Finding the Fourth Proportional to 1,403.94, 1,937.49 and 783.06

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Solution

The fourth proportional to 1,403.94, 1,937.49 and 783.06 is: 1,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.94 : 1,937.49 = 783.06 : x
  2. Step 2: Convert to fraction form
    1,403.94/1,937.49 = 783.06/x
  3. Step 3: Cross multiply
    1,403.94x = 1,937.49 × 783.06
  4. Step 4: Simplify right side
    1,403.94x = 1,517,170.92
  5. Step 5: Solve for x
    x = 1,517,170.92/1,403.94
  6. Step 6: Final answer
    x = 1,080.65

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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.