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Finding the Fourth Proportional to 577.04, 864.16 and 403.88

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Solution

The fourth proportional to 577.04, 864.16 and 403.88 is: 604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.04 : 864.16 = 403.88 : x
  2. Step 2: Convert to fraction form
    577.04/864.16 = 403.88/x
  3. Step 3: Cross multiply
    577.04x = 864.16 × 403.88
  4. Step 4: Simplify right side
    577.04x = 349,011.61
  5. Step 5: Solve for x
    x = 349,011.61/577.04
  6. Step 6: Final answer
    x = 604.84

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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.