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Finding the Fourth Proportional to 940.02, 1,297.14 and 547.07

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Solution

The fourth proportional to 940.02, 1,297.14 and 547.07 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.02 : 1,297.14 = 547.07 : x
  2. Step 2: Convert to fraction form
    940.02/1,297.14 = 547.07/x
  3. Step 3: Cross multiply
    940.02x = 1,297.14 × 547.07
  4. Step 4: Simplify right side
    940.02x = 709,626.38
  5. Step 5: Solve for x
    x = 709,626.38/940.02
  6. Step 6: Final answer
    x = 754.91

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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.