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Finding the Fourth Proportional to 594.06, 820.20 and 436.41

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Solution

The fourth proportional to 594.06, 820.20 and 436.41 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.06 : 820.20 = 436.41 : x
  2. Step 2: Convert to fraction form
    594.06/820.20 = 436.41/x
  3. Step 3: Cross multiply
    594.06x = 820.20 × 436.41
  4. Step 4: Simplify right side
    594.06x = 357,943.48
  5. Step 5: Solve for x
    x = 357,943.48/594.06
  6. Step 6: Final answer
    x = 602.54

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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.