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Finding the Fourth Proportional to 1,329.76, 1,834.77 and 805.69

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Solution

The fourth proportional to 1,329.76, 1,834.77 and 805.69 is: 1,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.76 : 1,834.77 = 805.69 : x
  2. Step 2: Convert to fraction form
    1,329.76/1,834.77 = 805.69/x
  3. Step 3: Cross multiply
    1,329.76x = 1,834.77 × 805.69
  4. Step 4: Simplify right side
    1,329.76x = 1,478,255.84
  5. Step 5: Solve for x
    x = 1,478,255.84/1,329.76
  6. Step 6: Final answer
    x = 1,111.67

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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.