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Finding the Fourth Proportional to 684.56, 943.70 and 507.26

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Solution

The fourth proportional to 684.56, 943.70 and 507.26 is: 699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 943.70 = 507.26 : x
  2. Step 2: Convert to fraction form
    684.56/943.70 = 507.26/x
  3. Step 3: Cross multiply
    684.56x = 943.70 × 507.26
  4. Step 4: Simplify right side
    684.56x = 478,701.26
  5. Step 5: Solve for x
    x = 478,701.26/684.56
  6. Step 6: Final answer
    x = 699.28

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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.