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Finding the Fourth Proportional to 785.71, 1,084.29 and 436.42

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Solution

The fourth proportional to 785.71, 1,084.29 and 436.42 is: 602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.71 : 1,084.29 = 436.42 : x
  2. Step 2: Convert to fraction form
    785.71/1,084.29 = 436.42/x
  3. Step 3: Cross multiply
    785.71x = 1,084.29 × 436.42
  4. Step 4: Simplify right side
    785.71x = 473,205.84
  5. Step 5: Solve for x
    x = 473,205.84/785.71
  6. Step 6: Final answer
    x = 602.27

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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.