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Finding the Fourth Proportional to 1,072.15, 1,477.54 and 859.22

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Solution

The fourth proportional to 1,072.15, 1,477.54 and 859.22 is: 1,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.15 : 1,477.54 = 859.22 : x
  2. Step 2: Convert to fraction form
    1,072.15/1,477.54 = 859.22/x
  3. Step 3: Cross multiply
    1,072.15x = 1,477.54 × 859.22
  4. Step 4: Simplify right side
    1,072.15x = 1,269,531.15
  5. Step 5: Solve for x
    x = 1,269,531.15/1,072.15
  6. Step 6: Final answer
    x = 1,184.10

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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.