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Finding the Fourth Proportional to 785.06, 1,176.26 and 438.19

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Solution

The fourth proportional to 785.06, 1,176.26 and 438.19 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.06 : 1,176.26 = 438.19 : x
  2. Step 2: Convert to fraction form
    785.06/1,176.26 = 438.19/x
  3. Step 3: Cross multiply
    785.06x = 1,176.26 × 438.19
  4. Step 4: Simplify right side
    785.06x = 515,420.24
  5. Step 5: Solve for x
    x = 515,420.24/785.06
  6. Step 6: Final answer
    x = 656.54

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1.5x scale

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.