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Finding the Fourth Proportional to 577.02, 865.80 and 360.75

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Solution

The fourth proportional to 577.02, 865.80 and 360.75 is: 541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 865.80 = 360.75 : x
  2. Step 2: Convert to fraction form
    577.02/865.80 = 360.75/x
  3. Step 3: Cross multiply
    577.02x = 865.80 × 360.75
  4. Step 4: Simplify right side
    577.02x = 312,337.35
  5. Step 5: Solve for x
    x = 312,337.35/577.02
  6. Step 6: Final answer
    x = 541.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.