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Finding the Fourth Proportional to 785.34, 1,083.38 and 536.67

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Solution

The fourth proportional to 785.34, 1,083.38 and 536.67 is: 740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,083.38 = 536.67 : x
  2. Step 2: Convert to fraction form
    785.34/1,083.38 = 536.67/x
  3. Step 3: Cross multiply
    785.34x = 1,083.38 × 536.67
  4. Step 4: Simplify right side
    785.34x = 581,414.86
  5. Step 5: Solve for x
    x = 581,414.86/785.34
  6. Step 6: Final answer
    x = 740.34

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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.