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Finding the Fourth Proportional to 1,448.75, 1,998.93 and 977.52

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Solution

The fourth proportional to 1,448.75, 1,998.93 and 977.52 is: 1,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.75 : 1,998.93 = 977.52 : x
  2. Step 2: Convert to fraction form
    1,448.75/1,998.93 = 977.52/x
  3. Step 3: Cross multiply
    1,448.75x = 1,998.93 × 977.52
  4. Step 4: Simplify right side
    1,448.75x = 1,953,990.22
  5. Step 5: Solve for x
    x = 1,953,990.22/1,448.75
  6. Step 6: Final answer
    x = 1,348.74

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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.