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Finding the Fourth Proportional to 940.12, 1,297.14 and 526.12

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Solution

The fourth proportional to 940.12, 1,297.14 and 526.12 is: 725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.12 : 1,297.14 = 526.12 : x
  2. Step 2: Convert to fraction form
    940.12/1,297.14 = 526.12/x
  3. Step 3: Cross multiply
    940.12x = 1,297.14 × 526.12
  4. Step 4: Simplify right side
    940.12x = 682,451.30
  5. Step 5: Solve for x
    x = 682,451.30/940.12
  6. Step 6: Final answer
    x = 725.92

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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.