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Finding the Fourth Proportional to 940.20, 1,297.89 and 567.24

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Solution

The fourth proportional to 940.20, 1,297.89 and 567.24 is: 783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.20 : 1,297.89 = 567.24 : x
  2. Step 2: Convert to fraction form
    940.20/1,297.89 = 567.24/x
  3. Step 3: Cross multiply
    940.20x = 1,297.89 × 567.24
  4. Step 4: Simplify right side
    940.20x = 736,215.12
  5. Step 5: Solve for x
    x = 736,215.12/940.20
  6. Step 6: Final answer
    x = 783.04

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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.