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Finding the Fourth Proportional to 596.00, 821.01 and 507.20

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Solution

The fourth proportional to 596.00, 821.01 and 507.20 is: 698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.00 : 821.01 = 507.20 : x
  2. Step 2: Convert to fraction form
    596.00/821.01 = 507.20/x
  3. Step 3: Cross multiply
    596.00x = 821.01 × 507.20
  4. Step 4: Simplify right side
    596.00x = 416,418.69
  5. Step 5: Solve for x
    x = 416,418.69/596.00
  6. Step 6: Final answer
    x = 698.69

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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.