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Finding the Fourth Proportional to 465.24, 646.40 and 459.42

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Solution

The fourth proportional to 465.24, 646.40 and 459.42 is: 638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 646.40 = 459.42 : x
  2. Step 2: Convert to fraction form
    465.24/646.40 = 459.42/x
  3. Step 3: Cross multiply
    465.24x = 646.40 × 459.42
  4. Step 4: Simplify right side
    465.24x = 296,969.09
  5. Step 5: Solve for x
    x = 296,969.09/465.24
  6. Step 6: Final answer
    x = 638.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.