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Finding the Fourth Proportional to 795.96, 1,194.12 and 431.08

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Solution

The fourth proportional to 795.96, 1,194.12 and 431.08 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.96 : 1,194.12 = 431.08 : x
  2. Step 2: Convert to fraction form
    795.96/1,194.12 = 431.08/x
  3. Step 3: Cross multiply
    795.96x = 1,194.12 × 431.08
  4. Step 4: Simplify right side
    795.96x = 514,761.25
  5. Step 5: Solve for x
    x = 514,761.25/795.96
  6. Step 6: Final answer
    x = 646.72

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Double scale
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1.5x scale

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.