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Finding the Fourth Proportional to 853.57, 1,280.51 and 650.67

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Solution

The fourth proportional to 853.57, 1,280.51 and 650.67 is: 976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.57 : 1,280.51 = 650.67 : x
  2. Step 2: Convert to fraction form
    853.57/1,280.51 = 650.67/x
  3. Step 3: Cross multiply
    853.57x = 1,280.51 × 650.67
  4. Step 4: Simplify right side
    853.57x = 833,183.83
  5. Step 5: Solve for x
    x = 833,183.83/853.57
  6. Step 6: Final answer
    x = 976.12

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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.