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Finding the Fourth Proportional to 977.63, 1,344.80 and 937.67

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Solution

The fourth proportional to 977.63, 1,344.80 and 937.67 is: 1,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.63 : 1,344.80 = 937.67 : x
  2. Step 2: Convert to fraction form
    977.63/1,344.80 = 937.67/x
  3. Step 3: Cross multiply
    977.63x = 1,344.80 × 937.67
  4. Step 4: Simplify right side
    977.63x = 1,260,974.24
  5. Step 5: Solve for x
    x = 1,260,974.24/977.63
  6. Step 6: Final answer
    x = 1,289.83

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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.