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Finding the Fourth Proportional to 860.10, 1,186.92 and 640.02

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Solution

The fourth proportional to 860.10, 1,186.92 and 640.02 is: 883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.10 : 1,186.92 = 640.02 : x
  2. Step 2: Convert to fraction form
    860.10/1,186.92 = 640.02/x
  3. Step 3: Cross multiply
    860.10x = 1,186.92 × 640.02
  4. Step 4: Simplify right side
    860.10x = 759,652.54
  5. Step 5: Solve for x
    x = 759,652.54/860.10
  6. Step 6: Final answer
    x = 883.21

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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.