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Finding the Fourth Proportional to 594.70, 820.47 and 370.54

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Solution

The fourth proportional to 594.70, 820.47 and 370.54 is: 511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.70 : 820.47 = 370.54 : x
  2. Step 2: Convert to fraction form
    594.70/820.47 = 370.54/x
  3. Step 3: Cross multiply
    594.70x = 820.47 × 370.54
  4. Step 4: Simplify right side
    594.70x = 304,012.85
  5. Step 5: Solve for x
    x = 304,012.85/594.70
  6. Step 6: Final answer
    x = 511.20

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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.