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Finding the Fourth Proportional to 1,420.27, 1,959.97 and 790.78

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Solution

The fourth proportional to 1,420.27, 1,959.97 and 790.78 is: 1,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.27 : 1,959.97 = 790.78 : x
  2. Step 2: Convert to fraction form
    1,420.27/1,959.97 = 790.78/x
  3. Step 3: Cross multiply
    1,420.27x = 1,959.97 × 790.78
  4. Step 4: Simplify right side
    1,420.27x = 1,549,905.08
  5. Step 5: Solve for x
    x = 1,549,905.08/1,420.27
  6. Step 6: Final answer
    x = 1,091.27

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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.