Home / 1,377.84-1,904.44-1,159.96

Finding the Fourth Proportional to 1,377.84, 1,904.44 and 1,159.96

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Solution

The fourth proportional to 1,377.84, 1,904.44 and 1,159.96 is: 1,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.84 : 1,904.44 = 1,159.96 : x
  2. Step 2: Convert to fraction form
    1,377.84/1,904.44 = 1,159.96/x
  3. Step 3: Cross multiply
    1,377.84x = 1,904.44 × 1,159.96
  4. Step 4: Simplify right side
    1,377.84x = 2,209,074.22
  5. Step 5: Solve for x
    x = 2,209,074.22/1,377.84
  6. Step 6: Final answer
    x = 1,603.29

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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.