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Finding the Fourth Proportional to 470.36, 646.63 and 467.37

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Solution

The fourth proportional to 470.36, 646.63 and 467.37 is: 642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 646.63 = 467.37 : x
  2. Step 2: Convert to fraction form
    470.36/646.63 = 467.37/x
  3. Step 3: Cross multiply
    470.36x = 646.63 × 467.37
  4. Step 4: Simplify right side
    470.36x = 302,216.92
  5. Step 5: Solve for x
    x = 302,216.92/470.36
  6. Step 6: Final answer
    x = 642.53

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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.