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Finding the Fourth Proportional to 1,280.61, 1,916.46 and 786.80

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Solution

The fourth proportional to 1,280.61, 1,916.46 and 786.80 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.61 : 1,916.46 = 786.80 : x
  2. Step 2: Convert to fraction form
    1,280.61/1,916.46 = 786.80/x
  3. Step 3: Cross multiply
    1,280.61x = 1,916.46 × 786.80
  4. Step 4: Simplify right side
    1,280.61x = 1,507,864.74
  5. Step 5: Solve for x
    x = 1,507,864.74/1,280.61
  6. Step 6: Final answer
    x = 1,177.46

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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.