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Finding the Fourth Proportional to 507.51, 698.94 and 496.77

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Solution

The fourth proportional to 507.51, 698.94 and 496.77 is: 684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 698.94 = 496.77 : x
  2. Step 2: Convert to fraction form
    507.51/698.94 = 496.77/x
  3. Step 3: Cross multiply
    507.51x = 698.94 × 496.77
  4. Step 4: Simplify right side
    507.51x = 347,212.42
  5. Step 5: Solve for x
    x = 347,212.42/507.51
  6. Step 6: Final answer
    x = 684.15

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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.