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Finding the Fourth Proportional to 860.62, 1,187.90 and 511.51

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Solution

The fourth proportional to 860.62, 1,187.90 and 511.51 is: 706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.62 : 1,187.90 = 511.51 : x
  2. Step 2: Convert to fraction form
    860.62/1,187.90 = 511.51/x
  3. Step 3: Cross multiply
    860.62x = 1,187.90 × 511.51
  4. Step 4: Simplify right side
    860.62x = 607,622.73
  5. Step 5: Solve for x
    x = 607,622.73/860.62
  6. Step 6: Final answer
    x = 706.03

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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.