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Finding the Fourth Proportional to 576.79, 794.67 and 434.37

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Solution

The fourth proportional to 576.79, 794.67 and 434.37 is: 598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.79 : 794.67 = 434.37 : x
  2. Step 2: Convert to fraction form
    576.79/794.67 = 434.37/x
  3. Step 3: Cross multiply
    576.79x = 794.67 × 434.37
  4. Step 4: Simplify right side
    576.79x = 345,180.81
  5. Step 5: Solve for x
    x = 345,180.81/576.79
  6. Step 6: Final answer
    x = 598.45

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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.