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Finding the Fourth Proportional to 829.85, 1,145.22 and 456.86

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Solution

The fourth proportional to 829.85, 1,145.22 and 456.86 is: 630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.85 : 1,145.22 = 456.86 : x
  2. Step 2: Convert to fraction form
    829.85/1,145.22 = 456.86/x
  3. Step 3: Cross multiply
    829.85x = 1,145.22 × 456.86
  4. Step 4: Simplify right side
    829.85x = 523,205.21
  5. Step 5: Solve for x
    x = 523,205.21/829.85
  6. Step 6: Final answer
    x = 630.48

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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.