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Finding the Fourth Proportional to 1,386.09, 2,078.93 and 461.62

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Solution

The fourth proportional to 1,386.09, 2,078.93 and 461.62 is: 692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.09 : 2,078.93 = 461.62 : x
  2. Step 2: Convert to fraction form
    1,386.09/2,078.93 = 461.62/x
  3. Step 3: Cross multiply
    1,386.09x = 2,078.93 × 461.62
  4. Step 4: Simplify right side
    1,386.09x = 959,675.67
  5. Step 5: Solve for x
    x = 959,675.67/1,386.09
  6. Step 6: Final answer
    x = 692.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.