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Finding the Fourth Proportional to 785.70, 1,083.93 and 491.10

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Solution

The fourth proportional to 785.70, 1,083.93 and 491.10 is: 677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.70 : 1,083.93 = 491.10 : x
  2. Step 2: Convert to fraction form
    785.70/1,083.93 = 491.10/x
  3. Step 3: Cross multiply
    785.70x = 1,083.93 × 491.10
  4. Step 4: Simplify right side
    785.70x = 532,318.02
  5. Step 5: Solve for x
    x = 532,318.02/785.70
  6. Step 6: Final answer
    x = 677.51

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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.