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Finding the Fourth Proportional to 1,077.51, 1,485.50 and 865.83

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Solution

The fourth proportional to 1,077.51, 1,485.50 and 865.83 is: 1,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.51 : 1,485.50 = 865.83 : x
  2. Step 2: Convert to fraction form
    1,077.51/1,485.50 = 865.83/x
  3. Step 3: Cross multiply
    1,077.51x = 1,485.50 × 865.83
  4. Step 4: Simplify right side
    1,077.51x = 1,286,186.14
  5. Step 5: Solve for x
    x = 1,286,186.14/1,077.51
  6. Step 6: Final answer
    x = 1,193.67

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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.