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Finding the Fourth Proportional to 1,271.18, 1,754.18 and 740.09

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Solution

The fourth proportional to 1,271.18, 1,754.18 and 740.09 is: 1,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.18 : 1,754.18 = 740.09 : x
  2. Step 2: Convert to fraction form
    1,271.18/1,754.18 = 740.09/x
  3. Step 3: Cross multiply
    1,271.18x = 1,754.18 × 740.09
  4. Step 4: Simplify right side
    1,271.18x = 1,298,244.16
  5. Step 5: Solve for x
    x = 1,298,244.16/1,271.18
  6. Step 6: Final answer
    x = 1,021.29

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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.