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Finding the Fourth Proportional to 860, 1,187.09 and 536.87

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Solution

The fourth proportional to 860, 1,187.09 and 536.87 is: 741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    860 : 1,187.09 = 536.87 : x
  2. Step 2: Convert to fraction form
    860/1,187.09 = 536.87/x
  3. Step 3: Cross multiply
    860x = 1,187.09 × 536.87
  4. Step 4: Simplify right side
    860x = 637,313.01
  5. Step 5: Solve for x
    x = 637,313.01/860
  6. Step 6: Final answer
    x = 741.06

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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.