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Finding the Fourth Proportional to 1,311.81, 1,810.53 and 787.88

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Solution

The fourth proportional to 1,311.81, 1,810.53 and 787.88 is: 1,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.81 : 1,810.53 = 787.88 : x
  2. Step 2: Convert to fraction form
    1,311.81/1,810.53 = 787.88/x
  3. Step 3: Cross multiply
    1,311.81x = 1,810.53 × 787.88
  4. Step 4: Simplify right side
    1,311.81x = 1,426,480.38
  5. Step 5: Solve for x
    x = 1,426,480.38/1,311.81
  6. Step 6: Final answer
    x = 1,087.41

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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.