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Finding the Fourth Proportional to 861.93, 1,190.03 and 567.70

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Solution

The fourth proportional to 861.93, 1,190.03 and 567.70 is: 783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.93 : 1,190.03 = 567.70 : x
  2. Step 2: Convert to fraction form
    861.93/1,190.03 = 567.70/x
  3. Step 3: Cross multiply
    861.93x = 1,190.03 × 567.70
  4. Step 4: Simplify right side
    861.93x = 675,574.22
  5. Step 5: Solve for x
    x = 675,574.22/861.93
  6. Step 6: Final answer
    x = 783.79

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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.