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Finding the Fourth Proportional to 796.86, 1,193.55 and 430.88

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Solution

The fourth proportional to 796.86, 1,193.55 and 430.88 is: 645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.86 : 1,193.55 = 430.88 : x
  2. Step 2: Convert to fraction form
    796.86/1,193.55 = 430.88/x
  3. Step 3: Cross multiply
    796.86x = 1,193.55 × 430.88
  4. Step 4: Simplify right side
    796.86x = 514,270.86
  5. Step 5: Solve for x
    x = 514,270.86/796.86
  6. Step 6: Final answer
    x = 645.37

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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.