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Finding the Fourth Proportional to 785.12, 1,083.24 and 505.37

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Solution

The fourth proportional to 785.12, 1,083.24 and 505.37 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.12 : 1,083.24 = 505.37 : x
  2. Step 2: Convert to fraction form
    785.12/1,083.24 = 505.37/x
  3. Step 3: Cross multiply
    785.12x = 1,083.24 × 505.37
  4. Step 4: Simplify right side
    785.12x = 547,439.71
  5. Step 5: Solve for x
    x = 547,439.71/785.12
  6. Step 6: Final answer
    x = 697.27

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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.