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Finding the Fourth Proportional to 860.18, 1,187.00 and 506.06

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Solution

The fourth proportional to 860.18, 1,187.00 and 506.06 is: 698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.18 : 1,187.00 = 506.06 : x
  2. Step 2: Convert to fraction form
    860.18/1,187.00 = 506.06/x
  3. Step 3: Cross multiply
    860.18x = 1,187.00 × 506.06
  4. Step 4: Simplify right side
    860.18x = 600,684.75
  5. Step 5: Solve for x
    x = 600,684.75/860.18
  6. Step 6: Final answer
    x = 698.33

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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.