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Finding the Fourth Proportional to 1,274.91, 1,756.85 and 920.23

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Solution

The fourth proportional to 1,274.91, 1,756.85 and 920.23 is: 1,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.91 : 1,756.85 = 920.23 : x
  2. Step 2: Convert to fraction form
    1,274.91/1,756.85 = 920.23/x
  3. Step 3: Cross multiply
    1,274.91x = 1,756.85 × 920.23
  4. Step 4: Simplify right side
    1,274.91x = 1,616,707.12
  5. Step 5: Solve for x
    x = 1,616,707.12/1,274.91
  6. Step 6: Final answer
    x = 1,268.10

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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.