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Finding the Fourth Proportional to 858, 1,183.38 and 526.15

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Solution

The fourth proportional to 858, 1,183.38 and 526.15 is: 725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    858 : 1,183.38 = 526.15 : x
  2. Step 2: Convert to fraction form
    858/1,183.38 = 526.15/x
  3. Step 3: Cross multiply
    858x = 1,183.38 × 526.15
  4. Step 4: Simplify right side
    858x = 622,629.47
  5. Step 5: Solve for x
    x = 622,629.47/858
  6. Step 6: Final answer
    x = 725.68

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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.