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Finding the Fourth Proportional to 594.72, 820.68 and 346.08

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Solution

The fourth proportional to 594.72, 820.68 and 346.08 is: 477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.72 : 820.68 = 346.08 : x
  2. Step 2: Convert to fraction form
    594.72/820.68 = 346.08/x
  3. Step 3: Cross multiply
    594.72x = 820.68 × 346.08
  4. Step 4: Simplify right side
    594.72x = 284,020.93
  5. Step 5: Solve for x
    x = 284,020.93/594.72
  6. Step 6: Final answer
    x = 477.57

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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.