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Finding the Fourth Proportional to 596.30, 821.66 and 507.48

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Solution

The fourth proportional to 596.30, 821.66 and 507.48 is: 699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 821.66 = 507.48 : x
  2. Step 2: Convert to fraction form
    596.30/821.66 = 507.48/x
  3. Step 3: Cross multiply
    596.30x = 821.66 × 507.48
  4. Step 4: Simplify right side
    596.30x = 416,976.02
  5. Step 5: Solve for x
    x = 416,976.02/596.30
  6. Step 6: Final answer
    x = 699.27

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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.