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Finding the Fourth Proportional to 432.77, 645.72 and 406.50

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Solution

The fourth proportional to 432.77, 645.72 and 406.50 is: 606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.77 : 645.72 = 406.50 : x
  2. Step 2: Convert to fraction form
    432.77/645.72 = 406.50/x
  3. Step 3: Cross multiply
    432.77x = 645.72 × 406.50
  4. Step 4: Simplify right side
    432.77x = 262,485.18
  5. Step 5: Solve for x
    x = 262,485.18/432.77
  6. Step 6: Final answer
    x = 606.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.