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Finding the Fourth Proportional to 577.50, 865.08 and 268.92

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Solution

The fourth proportional to 577.50, 865.08 and 268.92 is: 402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.50 : 865.08 = 268.92 : x
  2. Step 2: Convert to fraction form
    577.50/865.08 = 268.92/x
  3. Step 3: Cross multiply
    577.50x = 865.08 × 268.92
  4. Step 4: Simplify right side
    577.50x = 232,637.31
  5. Step 5: Solve for x
    x = 232,637.31/577.50
  6. Step 6: Final answer
    x = 402.84

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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.