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Finding the Fourth Proportional to 523.66, 786.33 and 432.16

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Solution

The fourth proportional to 523.66, 786.33 and 432.16 is: 648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.66 : 786.33 = 432.16 : x
  2. Step 2: Convert to fraction form
    523.66/786.33 = 432.16/x
  3. Step 3: Cross multiply
    523.66x = 786.33 × 432.16
  4. Step 4: Simplify right side
    523.66x = 339,820.37
  5. Step 5: Solve for x
    x = 339,820.37/523.66
  6. Step 6: Final answer
    x = 648.93

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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.