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Finding the Fourth Proportional to 594.73, 820.34 and 373.49

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Solution

The fourth proportional to 594.73, 820.34 and 373.49 is: 515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.73 : 820.34 = 373.49 : x
  2. Step 2: Convert to fraction form
    594.73/820.34 = 373.49/x
  3. Step 3: Cross multiply
    594.73x = 820.34 × 373.49
  4. Step 4: Simplify right side
    594.73x = 306,382.82
  5. Step 5: Solve for x
    x = 306,382.82/594.73
  6. Step 6: Final answer
    x = 515.17

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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.