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Finding the Fourth Proportional to 938.67, 1,296.68 and 678.06

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Solution

The fourth proportional to 938.67, 1,296.68 and 678.06 is: 936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.67 : 1,296.68 = 678.06 : x
  2. Step 2: Convert to fraction form
    938.67/1,296.68 = 678.06/x
  3. Step 3: Cross multiply
    938.67x = 1,296.68 × 678.06
  4. Step 4: Simplify right side
    938.67x = 879,223.45
  5. Step 5: Solve for x
    x = 879,223.45/938.67
  6. Step 6: Final answer
    x = 936.67

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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.