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Finding the Fourth Proportional to 458.94, 683.21 and 456.51

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Solution

The fourth proportional to 458.94, 683.21 and 456.51 is: 679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 683.21 = 456.51 : x
  2. Step 2: Convert to fraction form
    458.94/683.21 = 456.51/x
  3. Step 3: Cross multiply
    458.94x = 683.21 × 456.51
  4. Step 4: Simplify right side
    458.94x = 311,892.20
  5. Step 5: Solve for x
    x = 311,892.20/458.94
  6. Step 6: Final answer
    x = 679.59

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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.