Home / 1,010.43-1,517.27-971.15

Finding the Fourth Proportional to 1,010.43, 1,517.27 and 971.15

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Solution

The fourth proportional to 1,010.43, 1,517.27 and 971.15 is: 1,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.43 : 1,517.27 = 971.15 : x
  2. Step 2: Convert to fraction form
    1,010.43/1,517.27 = 971.15/x
  3. Step 3: Cross multiply
    1,010.43x = 1,517.27 × 971.15
  4. Step 4: Simplify right side
    1,010.43x = 1,473,484.32
  5. Step 5: Solve for x
    x = 1,473,484.32/1,010.43
  6. Step 6: Final answer
    x = 1,458.27

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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.