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Finding the Fourth Proportional to 1,280.69, 1,919.58 and 623.21

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Solution

The fourth proportional to 1,280.69, 1,919.58 and 623.21 is: 934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.69 : 1,919.58 = 623.21 : x
  2. Step 2: Convert to fraction form
    1,280.69/1,919.58 = 623.21/x
  3. Step 3: Cross multiply
    1,280.69x = 1,919.58 × 623.21
  4. Step 4: Simplify right side
    1,280.69x = 1,196,291.85
  5. Step 5: Solve for x
    x = 1,196,291.85/1,280.69
  6. Step 6: Final answer
    x = 934.10

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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.