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Finding the Fourth Proportional to 1,014.82, 1,520.40 and 581.06

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Solution

The fourth proportional to 1,014.82, 1,520.40 and 581.06 is: 870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.82 : 1,520.40 = 581.06 : x
  2. Step 2: Convert to fraction form
    1,014.82/1,520.40 = 581.06/x
  3. Step 3: Cross multiply
    1,014.82x = 1,520.40 × 581.06
  4. Step 4: Simplify right side
    1,014.82x = 883,447.43
  5. Step 5: Solve for x
    x = 883,447.43/1,014.82
  6. Step 6: Final answer
    x = 870.55

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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.