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Finding the Fourth Proportional to 507.92, 696.76 and 494.40

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Solution

The fourth proportional to 507.92, 696.76 and 494.40 is: 678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.92 : 696.76 = 494.40 : x
  2. Step 2: Convert to fraction form
    507.92/696.76 = 494.40/x
  3. Step 3: Cross multiply
    507.92x = 696.76 × 494.40
  4. Step 4: Simplify right side
    507.92x = 344,478.14
  5. Step 5: Solve for x
    x = 344,478.14/507.92
  6. Step 6: Final answer
    x = 678.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.