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Finding the Fourth Proportional to 944.63, 1,408.92 and 928.23

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Solution

The fourth proportional to 944.63, 1,408.92 and 928.23 is: 1,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.63 : 1,408.92 = 928.23 : x
  2. Step 2: Convert to fraction form
    944.63/1,408.92 = 928.23/x
  3. Step 3: Cross multiply
    944.63x = 1,408.92 × 928.23
  4. Step 4: Simplify right side
    944.63x = 1,307,794.77
  5. Step 5: Solve for x
    x = 1,307,794.77/944.63
  6. Step 6: Final answer
    x = 1,384.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.