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Finding the Fourth Proportional to 1,377, 1,900.40 and 787.46

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Solution

The fourth proportional to 1,377, 1,900.40 and 787.46 is: 1,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377 : 1,900.40 = 787.46 : x
  2. Step 2: Convert to fraction form
    1,377/1,900.40 = 787.46/x
  3. Step 3: Cross multiply
    1,377x = 1,900.40 × 787.46
  4. Step 4: Simplify right side
    1,377x = 1,496,475.54
  5. Step 5: Solve for x
    x = 1,496,475.54/1,377
  6. Step 6: Final answer
    x = 1,086.77

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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.