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Finding the Fourth Proportional to 1,774.64, 2,448.45 and 988.55

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Solution

The fourth proportional to 1,774.64, 2,448.45 and 988.55 is: 1,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.64 : 2,448.45 = 988.55 : x
  2. Step 2: Convert to fraction form
    1,774.64/2,448.45 = 988.55/x
  3. Step 3: Cross multiply
    1,774.64x = 2,448.45 × 988.55
  4. Step 4: Simplify right side
    1,774.64x = 2,420,415.25
  5. Step 5: Solve for x
    x = 2,420,415.25/1,774.64
  6. Step 6: Final answer
    x = 1,363.89

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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.