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Finding the Fourth Proportional to 958.65, 1,435.59 and 785.75

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Solution

The fourth proportional to 958.65, 1,435.59 and 785.75 is: 1,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.65 : 1,435.59 = 785.75 : x
  2. Step 2: Convert to fraction form
    958.65/1,435.59 = 785.75/x
  3. Step 3: Cross multiply
    958.65x = 1,435.59 × 785.75
  4. Step 4: Simplify right side
    958.65x = 1,128,007.66
  5. Step 5: Solve for x
    x = 1,128,007.66/958.65
  6. Step 6: Final answer
    x = 1,176.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.