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Finding the Fourth Proportional to 1,271.42, 1,754.65 and 712

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Solution

The fourth proportional to 1,271.42, 1,754.65 and 712 is: 982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.42 : 1,754.65 = 712 : x
  2. Step 2: Convert to fraction form
    1,271.42/1,754.65 = 712/x
  3. Step 3: Cross multiply
    1,271.42x = 1,754.65 × 712
  4. Step 4: Simplify right side
    1,271.42x = 1,249,310.80
  5. Step 5: Solve for x
    x = 1,249,310.80/1,271.42
  6. Step 6: Final answer
    x = 982.61

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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.