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Finding the Fourth Proportional to 1,280.57, 1,920.08 and 694.52

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Solution

The fourth proportional to 1,280.57, 1,920.08 and 694.52 is: 1,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.57 : 1,920.08 = 694.52 : x
  2. Step 2: Convert to fraction form
    1,280.57/1,920.08 = 694.52/x
  3. Step 3: Cross multiply
    1,280.57x = 1,920.08 × 694.52
  4. Step 4: Simplify right side
    1,280.57x = 1,333,533.96
  5. Step 5: Solve for x
    x = 1,333,533.96/1,280.57
  6. Step 6: Final answer
    x = 1,041.36

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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.