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Finding the Fourth Proportional to 1,460.57, 2,014.84 and 988.49

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Solution

The fourth proportional to 1,460.57, 2,014.84 and 988.49 is: 1,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.57 : 2,014.84 = 988.49 : x
  2. Step 2: Convert to fraction form
    1,460.57/2,014.84 = 988.49/x
  3. Step 3: Cross multiply
    1,460.57x = 2,014.84 × 988.49
  4. Step 4: Simplify right side
    1,460.57x = 1,991,634.17
  5. Step 5: Solve for x
    x = 1,991,634.17/1,460.57
  6. Step 6: Final answer
    x = 1,363.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.