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Finding the Fourth Proportional to 940, 1,297.26 and 526

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Solution

The fourth proportional to 940, 1,297.26 and 526 is: 725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    940 : 1,297.26 = 526 : x
  2. Step 2: Convert to fraction form
    940/1,297.26 = 526/x
  3. Step 3: Cross multiply
    940x = 1,297.26 × 526
  4. Step 4: Simplify right side
    940x = 682,358.76
  5. Step 5: Solve for x
    x = 682,358.76/940
  6. Step 6: Final answer
    x = 725.91

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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.