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Finding the Fourth Proportional to 1,774.39, 2,661.54 and 787.18

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Solution

The fourth proportional to 1,774.39, 2,661.54 and 787.18 is: 1,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.39 : 2,661.54 = 787.18 : x
  2. Step 2: Convert to fraction form
    1,774.39/2,661.54 = 787.18/x
  3. Step 3: Cross multiply
    1,774.39x = 2,661.54 × 787.18
  4. Step 4: Simplify right side
    1,774.39x = 2,095,111.06
  5. Step 5: Solve for x
    x = 2,095,111.06/1,774.39
  6. Step 6: Final answer
    x = 1,180.75

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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.