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Finding the Fourth Proportional to 678.05, 1,015.31 and 581.18

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Solution

The fourth proportional to 678.05, 1,015.31 and 581.18 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.05 : 1,015.31 = 581.18 : x
  2. Step 2: Convert to fraction form
    678.05/1,015.31 = 581.18/x
  3. Step 3: Cross multiply
    678.05x = 1,015.31 × 581.18
  4. Step 4: Simplify right side
    678.05x = 590,069.88
  5. Step 5: Solve for x
    x = 590,069.88/678.05
  6. Step 6: Final answer
    x = 870.25

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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.