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Finding the Fourth Proportional to 875.11, 1,314.47 and 845.95

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Solution

The fourth proportional to 875.11, 1,314.47 and 845.95 is: 1,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.11 : 1,314.47 = 845.95 : x
  2. Step 2: Convert to fraction form
    875.11/1,314.47 = 845.95/x
  3. Step 3: Cross multiply
    875.11x = 1,314.47 × 845.95
  4. Step 4: Simplify right side
    875.11x = 1,111,975.90
  5. Step 5: Solve for x
    x = 1,111,975.90/875.11
  6. Step 6: Final answer
    x = 1,270.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.