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Finding the Fourth Proportional to 524.19, 788.79 and 432.31

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Solution

The fourth proportional to 524.19, 788.79 and 432.31 is: 650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.19 : 788.79 = 432.31 : x
  2. Step 2: Convert to fraction form
    524.19/788.79 = 432.31/x
  3. Step 3: Cross multiply
    524.19x = 788.79 × 432.31
  4. Step 4: Simplify right side
    524.19x = 341,001.80
  5. Step 5: Solve for x
    x = 341,001.80/524.19
  6. Step 6: Final answer
    x = 650.53

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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.