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Finding the Fourth Proportional to 604.04, 832.56 and 462.20

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Solution

The fourth proportional to 604.04, 832.56 and 462.20 is: 637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.04 : 832.56 = 462.20 : x
  2. Step 2: Convert to fraction form
    604.04/832.56 = 462.20/x
  3. Step 3: Cross multiply
    604.04x = 832.56 × 462.20
  4. Step 4: Simplify right side
    604.04x = 384,809.23
  5. Step 5: Solve for x
    x = 384,809.23/604.04
  6. Step 6: Final answer
    x = 637.06

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