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Finding the Fourth Proportional to 1,010.10, 1,515.15 and 682.05

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Solution

The fourth proportional to 1,010.10, 1,515.15 and 682.05 is: 1,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.10 : 1,515.15 = 682.05 : x
  2. Step 2: Convert to fraction form
    1,010.10/1,515.15 = 682.05/x
  3. Step 3: Cross multiply
    1,010.10x = 1,515.15 × 682.05
  4. Step 4: Simplify right side
    1,010.10x = 1,033,408.06
  5. Step 5: Solve for x
    x = 1,033,408.06/1,010.10
  6. Step 6: Final answer
    x = 1,023.08

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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.