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Finding the Fourth Proportional to 594.70, 820.75 and 417.49

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Solution

The fourth proportional to 594.70, 820.75 and 417.49 is: 576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.70 : 820.75 = 417.49 : x
  2. Step 2: Convert to fraction form
    594.70/820.75 = 417.49/x
  3. Step 3: Cross multiply
    594.70x = 820.75 × 417.49
  4. Step 4: Simplify right side
    594.70x = 342,654.92
  5. Step 5: Solve for x
    x = 342,654.92/594.70
  6. Step 6: Final answer
    x = 576.18

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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.