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Finding the Fourth Proportional to 785.88, 1,084.28 and 449.76

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Solution

The fourth proportional to 785.88, 1,084.28 and 449.76 is: 620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.88 : 1,084.28 = 449.76 : x
  2. Step 2: Convert to fraction form
    785.88/1,084.28 = 449.76/x
  3. Step 3: Cross multiply
    785.88x = 1,084.28 × 449.76
  4. Step 4: Simplify right side
    785.88x = 487,665.77
  5. Step 5: Solve for x
    x = 487,665.77/785.88
  6. Step 6: Final answer
    x = 620.53

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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.