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Finding the Fourth Proportional to 785.35, 1,084.69 and 564.63

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Solution

The fourth proportional to 785.35, 1,084.69 and 564.63 is: 779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.35 : 1,084.69 = 564.63 : x
  2. Step 2: Convert to fraction form
    785.35/1,084.69 = 564.63/x
  3. Step 3: Cross multiply
    785.35x = 1,084.69 × 564.63
  4. Step 4: Simplify right side
    785.35x = 612,448.51
  5. Step 5: Solve for x
    x = 612,448.51/785.35
  6. Step 6: Final answer
    x = 779.84

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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.