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Finding the Fourth Proportional to 577.01, 864.85 and 403.15

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Solution

The fourth proportional to 577.01, 864.85 and 403.15 is: 604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.01 : 864.85 = 403.15 : x
  2. Step 2: Convert to fraction form
    577.01/864.85 = 403.15/x
  3. Step 3: Cross multiply
    577.01x = 864.85 × 403.15
  4. Step 4: Simplify right side
    577.01x = 348,667.05
  5. Step 5: Solve for x
    x = 348,667.05/577.01
  6. Step 6: Final answer
    x = 604.26

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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.