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Finding the Fourth Proportional to 1,485.66, 2,048.00 and 1,247.82

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Solution

The fourth proportional to 1,485.66, 2,048.00 and 1,247.82 is: 1,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.66 : 2,048.00 = 1,247.82 : x
  2. Step 2: Convert to fraction form
    1,485.66/2,048.00 = 1,247.82/x
  3. Step 3: Cross multiply
    1,485.66x = 2,048.00 × 1,247.82
  4. Step 4: Simplify right side
    1,485.66x = 2,555,529.12
  5. Step 5: Solve for x
    x = 2,555,529.12/1,485.66
  6. Step 6: Final answer
    x = 1,720.13

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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.