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Finding the Fourth Proportional to 594.84, 820.91 and 342.81

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Solution

The fourth proportional to 594.84, 820.91 and 342.81 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 820.91 = 342.81 : x
  2. Step 2: Convert to fraction form
    594.84/820.91 = 342.81/x
  3. Step 3: Cross multiply
    594.84x = 820.91 × 342.81
  4. Step 4: Simplify right side
    594.84x = 281,412.05
  5. Step 5: Solve for x
    x = 281,412.05/594.84
  6. Step 6: Final answer
    x = 473.09

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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.