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Finding the Fourth Proportional to 785.42, 1,083.01 and 505.28

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Solution

The fourth proportional to 785.42, 1,083.01 and 505.28 is: 696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,083.01 = 505.28 : x
  2. Step 2: Convert to fraction form
    785.42/1,083.01 = 505.28/x
  3. Step 3: Cross multiply
    785.42x = 1,083.01 × 505.28
  4. Step 4: Simplify right side
    785.42x = 547,216.61
  5. Step 5: Solve for x
    x = 547,216.61/785.42
  6. Step 6: Final answer
    x = 696.72

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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.