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Finding the Fourth Proportional to 786, 1,183.58 and 582.02

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Solution

The fourth proportional to 786, 1,183.58 and 582.02 is: 876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    786 : 1,183.58 = 582.02 : x
  2. Step 2: Convert to fraction form
    786/1,183.58 = 582.02/x
  3. Step 3: Cross multiply
    786x = 1,183.58 × 582.02
  4. Step 4: Simplify right side
    786x = 688,862.77
  5. Step 5: Solve for x
    x = 688,862.77/786
  6. Step 6: Final answer
    x = 876.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.