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Finding the Fourth Proportional to 940.80, 1,297.97 and 567.50

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Solution

The fourth proportional to 940.80, 1,297.97 and 567.50 is: 782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.80 : 1,297.97 = 567.50 : x
  2. Step 2: Convert to fraction form
    940.80/1,297.97 = 567.50/x
  3. Step 3: Cross multiply
    940.80x = 1,297.97 × 567.50
  4. Step 4: Simplify right side
    940.80x = 736,597.98
  5. Step 5: Solve for x
    x = 736,597.98/940.80
  6. Step 6: Final answer
    x = 782.95

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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.