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Finding the Fourth Proportional to 654.86, 904.13 and 456.11

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Solution

The fourth proportional to 654.86, 904.13 and 456.11 is: 629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 904.13 = 456.11 : x
  2. Step 2: Convert to fraction form
    654.86/904.13 = 456.11/x
  3. Step 3: Cross multiply
    654.86x = 904.13 × 456.11
  4. Step 4: Simplify right side
    654.86x = 412,375.93
  5. Step 5: Solve for x
    x = 412,375.93/654.86
  6. Step 6: Final answer
    x = 629.72

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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.