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Finding the Fourth Proportional to 875.69, 1,313.84 and 389.09

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Solution

The fourth proportional to 875.69, 1,313.84 and 389.09 is: 583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.69 : 1,313.84 = 389.09 : x
  2. Step 2: Convert to fraction form
    875.69/1,313.84 = 389.09/x
  3. Step 3: Cross multiply
    875.69x = 1,313.84 × 389.09
  4. Step 4: Simplify right side
    875.69x = 511,202.01
  5. Step 5: Solve for x
    x = 511,202.01/875.69
  6. Step 6: Final answer
    x = 583.77

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