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Finding the Fourth Proportional to 602.72, 832.04 and 403.89

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Solution

The fourth proportional to 602.72, 832.04 and 403.89 is: 557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.72 : 832.04 = 403.89 : x
  2. Step 2: Convert to fraction form
    602.72/832.04 = 403.89/x
  3. Step 3: Cross multiply
    602.72x = 832.04 × 403.89
  4. Step 4: Simplify right side
    602.72x = 336,052.64
  5. Step 5: Solve for x
    x = 336,052.64/602.72
  6. Step 6: Final answer
    x = 557.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.