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Finding the Fourth Proportional to 603.21, 904.21 and 458.63

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Solution

The fourth proportional to 603.21, 904.21 and 458.63 is: 687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.21 : 904.21 = 458.63 : x
  2. Step 2: Convert to fraction form
    603.21/904.21 = 458.63/x
  3. Step 3: Cross multiply
    603.21x = 904.21 × 458.63
  4. Step 4: Simplify right side
    603.21x = 414,691.02
  5. Step 5: Solve for x
    x = 414,691.02/603.21
  6. Step 6: Final answer
    x = 687.47

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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.