Home / 596.10-821.77-409.29

Finding the Fourth Proportional to 596.10, 821.77 and 409.29

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Solution

The fourth proportional to 596.10, 821.77 and 409.29 is: 564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.10 : 821.77 = 409.29 : x
  2. Step 2: Convert to fraction form
    596.10/821.77 = 409.29/x
  3. Step 3: Cross multiply
    596.10x = 821.77 × 409.29
  4. Step 4: Simplify right side
    596.10x = 336,342.24
  5. Step 5: Solve for x
    x = 336,342.24/596.10
  6. Step 6: Final answer
    x = 564.24

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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.