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Finding the Fourth Proportional to 786.28, 1,085 and 432.19

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Solution

The fourth proportional to 786.28, 1,085 and 432.19 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.28 : 1,085 = 432.19 : x
  2. Step 2: Convert to fraction form
    786.28/1,085 = 432.19/x
  3. Step 3: Cross multiply
    786.28x = 1,085 × 432.19
  4. Step 4: Simplify right side
    786.28x = 468,926.15
  5. Step 5: Solve for x
    x = 468,926.15/786.28
  6. Step 6: Final answer
    x = 596.39

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Double scale
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1.5x scale

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.