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Finding the Fourth Proportional to 785.58, 1,084.10 and 436.27

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Solution

The fourth proportional to 785.58, 1,084.10 and 436.27 is: 602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.58 : 1,084.10 = 436.27 : x
  2. Step 2: Convert to fraction form
    785.58/1,084.10 = 436.27/x
  3. Step 3: Cross multiply
    785.58x = 1,084.10 × 436.27
  4. Step 4: Simplify right side
    785.58x = 472,955.84
  5. Step 5: Solve for x
    x = 472,955.84/785.58
  6. Step 6: Final answer
    x = 602.05

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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.