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Finding the Fourth Proportional to 1,379.98, 1,904.64 and 907.04

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Solution

The fourth proportional to 1,379.98, 1,904.64 and 907.04 is: 1,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.98 : 1,904.64 = 907.04 : x
  2. Step 2: Convert to fraction form
    1,379.98/1,904.64 = 907.04/x
  3. Step 3: Cross multiply
    1,379.98x = 1,904.64 × 907.04
  4. Step 4: Simplify right side
    1,379.98x = 1,727,589.43
  5. Step 5: Solve for x
    x = 1,727,589.43/1,379.98
  6. Step 6: Final answer
    x = 1,251.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.