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Finding the Fourth Proportional to 1,415.94, 2,124.21 and 685.11

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Solution

The fourth proportional to 1,415.94, 2,124.21 and 685.11 is: 1,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.94 : 2,124.21 = 685.11 : x
  2. Step 2: Convert to fraction form
    1,415.94/2,124.21 = 685.11/x
  3. Step 3: Cross multiply
    1,415.94x = 2,124.21 × 685.11
  4. Step 4: Simplify right side
    1,415.94x = 1,455,317.51
  5. Step 5: Solve for x
    x = 1,455,317.51/1,415.94
  6. Step 6: Final answer
    x = 1,027.81

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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.