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Finding the Fourth Proportional to 604.08, 832.68 and 407.52

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Solution

The fourth proportional to 604.08, 832.68 and 407.52 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.08 : 832.68 = 407.52 : x
  2. Step 2: Convert to fraction form
    604.08/832.68 = 407.52/x
  3. Step 3: Cross multiply
    604.08x = 832.68 × 407.52
  4. Step 4: Simplify right side
    604.08x = 339,333.75
  5. Step 5: Solve for x
    x = 339,333.75/604.08
  6. Step 6: Final answer
    x = 561.74

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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.