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Finding the Fourth Proportional to 858.66, 1,188.08 and 748.37

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Solution

The fourth proportional to 858.66, 1,188.08 and 748.37 is: 1,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.66 : 1,188.08 = 748.37 : x
  2. Step 2: Convert to fraction form
    858.66/1,188.08 = 748.37/x
  3. Step 3: Cross multiply
    858.66x = 1,188.08 × 748.37
  4. Step 4: Simplify right side
    858.66x = 889,113.75
  5. Step 5: Solve for x
    x = 889,113.75/858.66
  6. Step 6: Final answer
    x = 1,035.47

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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.