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Finding the Fourth Proportional to 1,271.23, 1,754.29 and 711.71

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Solution

The fourth proportional to 1,271.23, 1,754.29 and 711.71 is: 982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.23 : 1,754.29 = 711.71 : x
  2. Step 2: Convert to fraction form
    1,271.23/1,754.29 = 711.71/x
  3. Step 3: Cross multiply
    1,271.23x = 1,754.29 × 711.71
  4. Step 4: Simplify right side
    1,271.23x = 1,248,536.76
  5. Step 5: Solve for x
    x = 1,248,536.76/1,271.23
  6. Step 6: Final answer
    x = 982.15

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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.