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Finding the Fourth Proportional to 940.11, 1,297.50 and 567.14

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Solution

The fourth proportional to 940.11, 1,297.50 and 567.14 is: 782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.11 : 1,297.50 = 567.14 : x
  2. Step 2: Convert to fraction form
    940.11/1,297.50 = 567.14/x
  3. Step 3: Cross multiply
    940.11x = 1,297.50 × 567.14
  4. Step 4: Simplify right side
    940.11x = 735,865.06
  5. Step 5: Solve for x
    x = 735,865.06/940.11
  6. Step 6: Final answer
    x = 782.75

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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.