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Finding the Fourth Proportional to 756.62, 1,134.12 and 431.30

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Solution

The fourth proportional to 756.62, 1,134.12 and 431.30 is: 646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.62 : 1,134.12 = 431.30 : x
  2. Step 2: Convert to fraction form
    756.62/1,134.12 = 431.30/x
  3. Step 3: Cross multiply
    756.62x = 1,134.12 × 431.30
  4. Step 4: Simplify right side
    756.62x = 489,145.96
  5. Step 5: Solve for x
    x = 489,145.96/756.62
  6. Step 6: Final answer
    x = 646.49

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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.