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Finding the Fourth Proportional to 940.23, 1,297.86 and 567.21

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Solution

The fourth proportional to 940.23, 1,297.86 and 567.21 is: 782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.23 : 1,297.86 = 567.21 : x
  2. Step 2: Convert to fraction form
    940.23/1,297.86 = 567.21/x
  3. Step 3: Cross multiply
    940.23x = 1,297.86 × 567.21
  4. Step 4: Simplify right side
    940.23x = 736,159.17
  5. Step 5: Solve for x
    x = 736,159.17/940.23
  6. Step 6: Final answer
    x = 782.96

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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.