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Finding the Fourth Proportional to 596.66, 820.41 and 509.18

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Solution

The fourth proportional to 596.66, 820.41 and 509.18 is: 700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.66 : 820.41 = 509.18 : x
  2. Step 2: Convert to fraction form
    596.66/820.41 = 509.18/x
  3. Step 3: Cross multiply
    596.66x = 820.41 × 509.18
  4. Step 4: Simplify right side
    596.66x = 417,736.36
  5. Step 5: Solve for x
    x = 417,736.36/596.66
  6. Step 6: Final answer
    x = 700.12

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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.