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Finding the Fourth Proportional to 860.98, 1,189.14 and 567.56

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Solution

The fourth proportional to 860.98, 1,189.14 and 567.56 is: 783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.98 : 1,189.14 = 567.56 : x
  2. Step 2: Convert to fraction form
    860.98/1,189.14 = 567.56/x
  3. Step 3: Cross multiply
    860.98x = 1,189.14 × 567.56
  4. Step 4: Simplify right side
    860.98x = 674,908.30
  5. Step 5: Solve for x
    x = 674,908.30/860.98
  6. Step 6: Final answer
    x = 783.88

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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.