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Finding the Fourth Proportional to 1,294.33, 1,785.88 and 734.67

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Solution

The fourth proportional to 1,294.33, 1,785.88 and 734.67 is: 1,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.33 : 1,785.88 = 734.67 : x
  2. Step 2: Convert to fraction form
    1,294.33/1,785.88 = 734.67/x
  3. Step 3: Cross multiply
    1,294.33x = 1,785.88 × 734.67
  4. Step 4: Simplify right side
    1,294.33x = 1,312,033.38
  5. Step 5: Solve for x
    x = 1,312,033.38/1,294.33
  6. Step 6: Final answer
    x = 1,013.68

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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.