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Finding the Fourth Proportional to 606.03, 904.64 and 513.73

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Solution

The fourth proportional to 606.03, 904.64 and 513.73 is: 766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.03 : 904.64 = 513.73 : x
  2. Step 2: Convert to fraction form
    606.03/904.64 = 513.73/x
  3. Step 3: Cross multiply
    606.03x = 904.64 × 513.73
  4. Step 4: Simplify right side
    606.03x = 464,740.71
  5. Step 5: Solve for x
    x = 464,740.71/606.03
  6. Step 6: Final answer
    x = 766.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.