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Finding the Fourth Proportional to 858.03, 1,183.66 and 577.91

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Solution

The fourth proportional to 858.03, 1,183.66 and 577.91 is: 797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.03 : 1,183.66 = 577.91 : x
  2. Step 2: Convert to fraction form
    858.03/1,183.66 = 577.91/x
  3. Step 3: Cross multiply
    858.03x = 1,183.66 × 577.91
  4. Step 4: Simplify right side
    858.03x = 684,041.59
  5. Step 5: Solve for x
    x = 684,041.59/858.03
  6. Step 6: Final answer
    x = 797.22

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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.