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Finding the Fourth Proportional to 1,376.33, 1,899.45 and 787.05

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Solution

The fourth proportional to 1,376.33, 1,899.45 and 787.05 is: 1,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.33 : 1,899.45 = 787.05 : x
  2. Step 2: Convert to fraction form
    1,376.33/1,899.45 = 787.05/x
  3. Step 3: Cross multiply
    1,376.33x = 1,899.45 × 787.05
  4. Step 4: Simplify right side
    1,376.33x = 1,494,962.12
  5. Step 5: Solve for x
    x = 1,494,962.12/1,376.33
  6. Step 6: Final answer
    x = 1,086.19

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1.5x scale

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.