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Finding the Fourth Proportional to 612.48, 920.40 and 449.64

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Solution

The fourth proportional to 612.48, 920.40 and 449.64 is: 675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.48 : 920.40 = 449.64 : x
  2. Step 2: Convert to fraction form
    612.48/920.40 = 449.64/x
  3. Step 3: Cross multiply
    612.48x = 920.40 × 449.64
  4. Step 4: Simplify right side
    612.48x = 413,848.66
  5. Step 5: Solve for x
    x = 413,848.66/612.48
  6. Step 6: Final answer
    x = 675.69

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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.