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Finding the Fourth Proportional to 1,280.25, 1,917.29 and 730.76

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Solution

The fourth proportional to 1,280.25, 1,917.29 and 730.76 is: 1,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.25 : 1,917.29 = 730.76 : x
  2. Step 2: Convert to fraction form
    1,280.25/1,917.29 = 730.76/x
  3. Step 3: Cross multiply
    1,280.25x = 1,917.29 × 730.76
  4. Step 4: Simplify right side
    1,280.25x = 1,401,078.84
  5. Step 5: Solve for x
    x = 1,401,078.84/1,280.25
  6. Step 6: Final answer
    x = 1,094.38

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1.5x scale

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.