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Finding the Fourth Proportional to 940.88, 1,298.46 and 567.85

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Solution

The fourth proportional to 940.88, 1,298.46 and 567.85 is: 783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.88 : 1,298.46 = 567.85 : x
  2. Step 2: Convert to fraction form
    940.88/1,298.46 = 567.85/x
  3. Step 3: Cross multiply
    940.88x = 1,298.46 × 567.85
  4. Step 4: Simplify right side
    940.88x = 737,331.07
  5. Step 5: Solve for x
    x = 737,331.07/940.88
  6. Step 6: Final answer
    x = 783.66

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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.