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Finding the Fourth Proportional to 940.41, 1,297.76 and 526.41

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Solution

The fourth proportional to 940.41, 1,297.76 and 526.41 is: 726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.41 : 1,297.76 = 526.41 : x
  2. Step 2: Convert to fraction form
    940.41/1,297.76 = 526.41/x
  3. Step 3: Cross multiply
    940.41x = 1,297.76 × 526.41
  4. Step 4: Simplify right side
    940.41x = 683,155.16
  5. Step 5: Solve for x
    x = 683,155.16/940.41
  6. Step 6: Final answer
    x = 726.44

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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.