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Finding the Fourth Proportional to 1,014.41, 1,512.71 and 1,005.17

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Solution

The fourth proportional to 1,014.41, 1,512.71 and 1,005.17 is: 1,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.41 : 1,512.71 = 1,005.17 : x
  2. Step 2: Convert to fraction form
    1,014.41/1,512.71 = 1,005.17/x
  3. Step 3: Cross multiply
    1,014.41x = 1,512.71 × 1,005.17
  4. Step 4: Simplify right side
    1,014.41x = 1,520,537.01
  5. Step 5: Solve for x
    x = 1,520,537.01/1,014.41
  6. Step 6: Final answer
    x = 1,498.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.