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Finding the Fourth Proportional to 875.54, 1,313.42 and 328.12

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Solution

The fourth proportional to 875.54, 1,313.42 and 328.12 is: 492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.54 : 1,313.42 = 328.12 : x
  2. Step 2: Convert to fraction form
    875.54/1,313.42 = 328.12/x
  3. Step 3: Cross multiply
    875.54x = 1,313.42 × 328.12
  4. Step 4: Simplify right side
    875.54x = 430,954.45
  5. Step 5: Solve for x
    x = 430,954.45/875.54
  6. Step 6: Final answer
    x = 492.21

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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.