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Finding the Fourth Proportional to 1,028.08, 1,541.78 and 875.67

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Solution

The fourth proportional to 1,028.08, 1,541.78 and 875.67 is: 1,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.08 : 1,541.78 = 875.67 : x
  2. Step 2: Convert to fraction form
    1,028.08/1,541.78 = 875.67/x
  3. Step 3: Cross multiply
    1,028.08x = 1,541.78 × 875.67
  4. Step 4: Simplify right side
    1,028.08x = 1,350,090.49
  5. Step 5: Solve for x
    x = 1,350,090.49/1,028.08
  6. Step 6: Final answer
    x = 1,313.22

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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.