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Finding the Fourth Proportional to 940.31, 1,297.63 and 567.21

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Solution

The fourth proportional to 940.31, 1,297.63 and 567.21 is: 782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.31 : 1,297.63 = 567.21 : x
  2. Step 2: Convert to fraction form
    940.31/1,297.63 = 567.21/x
  3. Step 3: Cross multiply
    940.31x = 1,297.63 × 567.21
  4. Step 4: Simplify right side
    940.31x = 736,028.71
  5. Step 5: Solve for x
    x = 736,028.71/940.31
  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.