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Finding the Fourth Proportional to 1,477.77, 2,039.39 and 814.68

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Solution

The fourth proportional to 1,477.77, 2,039.39 and 814.68 is: 1,124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.77 : 2,039.39 = 814.68 : x
  2. Step 2: Convert to fraction form
    1,477.77/2,039.39 = 814.68/x
  3. Step 3: Cross multiply
    1,477.77x = 2,039.39 × 814.68
  4. Step 4: Simplify right side
    1,477.77x = 1,661,450.25
  5. Step 5: Solve for x
    x = 1,661,450.25/1,477.77
  6. Step 6: Final answer
    x = 1,124.30

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1.5x scale

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.