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Finding the Fourth Proportional to 465.26, 643.26 and 444.86

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Solution

The fourth proportional to 465.26, 643.26 and 444.86 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.26 : 643.26 = 444.86 : x
  2. Step 2: Convert to fraction form
    465.26/643.26 = 444.86/x
  3. Step 3: Cross multiply
    465.26x = 643.26 × 444.86
  4. Step 4: Simplify right side
    465.26x = 286,160.64
  5. Step 5: Solve for x
    x = 286,160.64/465.26
  6. Step 6: Final answer
    x = 615.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.