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Finding the Fourth Proportional to 920.24, 1,271.75 and 754.19

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Solution

The fourth proportional to 920.24, 1,271.75 and 754.19 is: 1,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.24 : 1,271.75 = 754.19 : x
  2. Step 2: Convert to fraction form
    920.24/1,271.75 = 754.19/x
  3. Step 3: Cross multiply
    920.24x = 1,271.75 × 754.19
  4. Step 4: Simplify right side
    920.24x = 959,141.13
  5. Step 5: Solve for x
    x = 959,141.13/920.24
  6. Step 6: Final answer
    x = 1,042.27

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Double scale
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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.