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Finding the Fourth Proportional to 479.52, 656.64 and 465.60

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Solution

The fourth proportional to 479.52, 656.64 and 465.60 is: 637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.52 : 656.64 = 465.60 : x
  2. Step 2: Convert to fraction form
    479.52/656.64 = 465.60/x
  3. Step 3: Cross multiply
    479.52x = 656.64 × 465.60
  4. Step 4: Simplify right side
    479.52x = 305,731.58
  5. Step 5: Solve for x
    x = 305,731.58/479.52
  6. Step 6: Final answer
    x = 637.58

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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.