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Finding the Fourth Proportional to 1,403.02, 2,102.94 and 854.00

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Solution

The fourth proportional to 1,403.02, 2,102.94 and 854.00 is: 1,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.02 : 2,102.94 = 854.00 : x
  2. Step 2: Convert to fraction form
    1,403.02/2,102.94 = 854.00/x
  3. Step 3: Cross multiply
    1,403.02x = 2,102.94 × 854.00
  4. Step 4: Simplify right side
    1,403.02x = 1,795,895.98
  5. Step 5: Solve for x
    x = 1,795,895.98/1,403.02
  6. Step 6: Final answer
    x = 1,280.02

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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.