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Finding the Fourth Proportional to 930.90, 1,282.48 and 650.64

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Solution

The fourth proportional to 930.90, 1,282.48 and 650.64 is: 896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.90 : 1,282.48 = 650.64 : x
  2. Step 2: Convert to fraction form
    930.90/1,282.48 = 650.64/x
  3. Step 3: Cross multiply
    930.90x = 1,282.48 × 650.64
  4. Step 4: Simplify right side
    930.90x = 834,432.79
  5. Step 5: Solve for x
    x = 834,432.79/930.90
  6. Step 6: Final answer
    x = 896.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.