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Finding the Fourth Proportional to 861.94, 1,189.47 and 567.37

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Solution

The fourth proportional to 861.94, 1,189.47 and 567.37 is: 782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.94 : 1,189.47 = 567.37 : x
  2. Step 2: Convert to fraction form
    861.94/1,189.47 = 567.37/x
  3. Step 3: Cross multiply
    861.94x = 1,189.47 × 567.37
  4. Step 4: Simplify right side
    861.94x = 674,869.59
  5. Step 5: Solve for x
    x = 674,869.59/861.94
  6. Step 6: Final answer
    x = 782.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.