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Finding the Fourth Proportional to 1,148.41, 1,585.43 and 866.41

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Solution

The fourth proportional to 1,148.41, 1,585.43 and 866.41 is: 1,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.41 : 1,585.43 = 866.41 : x
  2. Step 2: Convert to fraction form
    1,148.41/1,585.43 = 866.41/x
  3. Step 3: Cross multiply
    1,148.41x = 1,585.43 × 866.41
  4. Step 4: Simplify right side
    1,148.41x = 1,373,632.41
  5. Step 5: Solve for x
    x = 1,373,632.41/1,148.41
  6. Step 6: Final answer
    x = 1,196.12

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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.