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Finding the Fourth Proportional to 785.75, 1,084.36 and 436.46

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Solution

The fourth proportional to 785.75, 1,084.36 and 436.46 is: 602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.75 : 1,084.36 = 436.46 : x
  2. Step 2: Convert to fraction form
    785.75/1,084.36 = 436.46/x
  3. Step 3: Cross multiply
    785.75x = 1,084.36 × 436.46
  4. Step 4: Simplify right side
    785.75x = 473,279.77
  5. Step 5: Solve for x
    x = 473,279.77/785.75
  6. Step 6: Final answer
    x = 602.33

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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.