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Finding the Fourth Proportional to 785.24, 1,083.48 and 505.04

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Solution

The fourth proportional to 785.24, 1,083.48 and 505.04 is: 696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.24 : 1,083.48 = 505.04 : x
  2. Step 2: Convert to fraction form
    785.24/1,083.48 = 505.04/x
  3. Step 3: Cross multiply
    785.24x = 1,083.48 × 505.04
  4. Step 4: Simplify right side
    785.24x = 547,200.74
  5. Step 5: Solve for x
    x = 547,200.74/785.24
  6. Step 6: Final answer
    x = 696.86

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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.