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Finding the Fourth Proportional to 612.40, 843.96 and 507.12

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Solution

The fourth proportional to 612.40, 843.96 and 507.12 is: 698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.40 : 843.96 = 507.12 : x
  2. Step 2: Convert to fraction form
    612.40/843.96 = 507.12/x
  3. Step 3: Cross multiply
    612.40x = 843.96 × 507.12
  4. Step 4: Simplify right side
    612.40x = 427,989.00
  5. Step 5: Solve for x
    x = 427,989.00/612.40
  6. Step 6: Final answer
    x = 698.87

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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.