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Finding the Fourth Proportional to 504.68, 696.08 and 426.44

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Solution

The fourth proportional to 504.68, 696.08 and 426.44 is: 588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.68 : 696.08 = 426.44 : x
  2. Step 2: Convert to fraction form
    504.68/696.08 = 426.44/x
  3. Step 3: Cross multiply
    504.68x = 696.08 × 426.44
  4. Step 4: Simplify right side
    504.68x = 296,836.36
  5. Step 5: Solve for x
    x = 296,836.36/504.68
  6. Step 6: Final answer
    x = 588.17

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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.