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Finding the Fourth Proportional to 1,078.28, 1,487.78 and 783.04

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Solution

The fourth proportional to 1,078.28, 1,487.78 and 783.04 is: 1,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.28 : 1,487.78 = 783.04 : x
  2. Step 2: Convert to fraction form
    1,078.28/1,487.78 = 783.04/x
  3. Step 3: Cross multiply
    1,078.28x = 1,487.78 × 783.04
  4. Step 4: Simplify right side
    1,078.28x = 1,164,983.62
  5. Step 5: Solve for x
    x = 1,164,983.62/1,078.28
  6. Step 6: Final answer
    x = 1,080.41

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1.5x scale

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.