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Finding the Fourth Proportional to 432.80, 647.97 and 310.69

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Solution

The fourth proportional to 432.80, 647.97 and 310.69 is: 465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 647.97 = 310.69 : x
  2. Step 2: Convert to fraction form
    432.80/647.97 = 310.69/x
  3. Step 3: Cross multiply
    432.80x = 647.97 × 310.69
  4. Step 4: Simplify right side
    432.80x = 201,317.80
  5. Step 5: Solve for x
    x = 201,317.80/432.80
  6. Step 6: Final answer
    x = 465.15

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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.