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Finding the Fourth Proportional to 786.38, 1,085.20 and 432.31

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Solution

The fourth proportional to 786.38, 1,085.20 and 432.31 is: 596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,085.20 = 432.31 : x
  2. Step 2: Convert to fraction form
    786.38/1,085.20 = 432.31/x
  3. Step 3: Cross multiply
    786.38x = 1,085.20 × 432.31
  4. Step 4: Simplify right side
    786.38x = 469,144.11
  5. Step 5: Solve for x
    x = 469,144.11/786.38
  6. Step 6: Final answer
    x = 596.58

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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.