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Finding the Fourth Proportional to 604.49, 904.71 and 445.31

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Solution

The fourth proportional to 604.49, 904.71 and 445.31 is: 666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.49 : 904.71 = 445.31 : x
  2. Step 2: Convert to fraction form
    604.49/904.71 = 445.31/x
  3. Step 3: Cross multiply
    604.49x = 904.71 × 445.31
  4. Step 4: Simplify right side
    604.49x = 402,873.56
  5. Step 5: Solve for x
    x = 402,873.56/604.49
  6. Step 6: Final answer
    x = 666.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.