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Finding the Fourth Proportional to 456.60, 625.84 and 440.20

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Solution

The fourth proportional to 456.60, 625.84 and 440.20 is: 603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 625.84 = 440.20 : x
  2. Step 2: Convert to fraction form
    456.60/625.84 = 440.20/x
  3. Step 3: Cross multiply
    456.60x = 625.84 × 440.20
  4. Step 4: Simplify right side
    456.60x = 275,494.77
  5. Step 5: Solve for x
    x = 275,494.77/456.60
  6. Step 6: Final answer
    x = 603.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.