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Finding the Fourth Proportional to 940.47, 1,297.80 and 520.84

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Solution

The fourth proportional to 940.47, 1,297.80 and 520.84 is: 718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.47 : 1,297.80 = 520.84 : x
  2. Step 2: Convert to fraction form
    940.47/1,297.80 = 520.84/x
  3. Step 3: Cross multiply
    940.47x = 1,297.80 × 520.84
  4. Step 4: Simplify right side
    940.47x = 675,946.15
  5. Step 5: Solve for x
    x = 675,946.15/940.47
  6. Step 6: Final answer
    x = 718.73

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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.