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Finding the Fourth Proportional to 604.56, 835.08 and 417.72

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Solution

The fourth proportional to 604.56, 835.08 and 417.72 is: 577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 835.08 = 417.72 : x
  2. Step 2: Convert to fraction form
    604.56/835.08 = 417.72/x
  3. Step 3: Cross multiply
    604.56x = 835.08 × 417.72
  4. Step 4: Simplify right side
    604.56x = 348,829.62
  5. Step 5: Solve for x
    x = 348,829.62/604.56
  6. Step 6: Final answer
    x = 577.00

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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.