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Finding the Fourth Proportional to 1,014.30, 1,520.74 and 552.29

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Solution

The fourth proportional to 1,014.30, 1,520.74 and 552.29 is: 828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.30 : 1,520.74 = 552.29 : x
  2. Step 2: Convert to fraction form
    1,014.30/1,520.74 = 552.29/x
  3. Step 3: Cross multiply
    1,014.30x = 1,520.74 × 552.29
  4. Step 4: Simplify right side
    1,014.30x = 839,889.49
  5. Step 5: Solve for x
    x = 839,889.49/1,014.30
  6. Step 6: Final answer
    x = 828.05

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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.