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Finding the Fourth Proportional to 612.24, 843.18 and 507.78

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Solution

The fourth proportional to 612.24, 843.18 and 507.78 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.24 : 843.18 = 507.78 : x
  2. Step 2: Convert to fraction form
    612.24/843.18 = 507.78/x
  3. Step 3: Cross multiply
    612.24x = 843.18 × 507.78
  4. Step 4: Simplify right side
    612.24x = 428,149.94
  5. Step 5: Solve for x
    x = 428,149.94/612.24
  6. Step 6: Final answer
    x = 699.32

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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.