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Finding the Fourth Proportional to 1,477.25, 2,038.40 and 814

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Solution

The fourth proportional to 1,477.25, 2,038.40 and 814 is: 1,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.25 : 2,038.40 = 814 : x
  2. Step 2: Convert to fraction form
    1,477.25/2,038.40 = 814/x
  3. Step 3: Cross multiply
    1,477.25x = 2,038.40 × 814
  4. Step 4: Simplify right side
    1,477.25x = 1,659,257.60
  5. Step 5: Solve for x
    x = 1,659,257.60/1,477.25
  6. Step 6: Final answer
    x = 1,123.21

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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.