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Finding the Fourth Proportional to 577.19, 861.60 and 534.37

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Solution

The fourth proportional to 577.19, 861.60 and 534.37 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.19 : 861.60 = 534.37 : x
  2. Step 2: Convert to fraction form
    577.19/861.60 = 534.37/x
  3. Step 3: Cross multiply
    577.19x = 861.60 × 534.37
  4. Step 4: Simplify right side
    577.19x = 460,413.19
  5. Step 5: Solve for x
    x = 460,413.19/577.19
  6. Step 6: Final answer
    x = 797.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.