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Finding the Fourth Proportional to 575.49, 794.61 and 450.93

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Solution

The fourth proportional to 575.49, 794.61 and 450.93 is: 622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.49 : 794.61 = 450.93 : x
  2. Step 2: Convert to fraction form
    575.49/794.61 = 450.93/x
  3. Step 3: Cross multiply
    575.49x = 794.61 × 450.93
  4. Step 4: Simplify right side
    575.49x = 358,313.49
  5. Step 5: Solve for x
    x = 358,313.49/575.49
  6. Step 6: Final answer
    x = 622.62

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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.