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Finding the Fourth Proportional to 940.02, 1,297.19 and 520.37

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Solution

The fourth proportional to 940.02, 1,297.19 and 520.37 is: 718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.02 : 1,297.19 = 520.37 : x
  2. Step 2: Convert to fraction form
    940.02/1,297.19 = 520.37/x
  3. Step 3: Cross multiply
    940.02x = 1,297.19 × 520.37
  4. Step 4: Simplify right side
    940.02x = 675,009.67
  5. Step 5: Solve for x
    x = 675,009.67/940.02
  6. Step 6: Final answer
    x = 718.08

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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.