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Finding the Fourth Proportional to 507.58, 757.50 and 494.62

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Solution

The fourth proportional to 507.58, 757.50 and 494.62 is: 738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.58 : 757.50 = 494.62 : x
  2. Step 2: Convert to fraction form
    507.58/757.50 = 494.62/x
  3. Step 3: Cross multiply
    507.58x = 757.50 × 494.62
  4. Step 4: Simplify right side
    507.58x = 374,674.65
  5. Step 5: Solve for x
    x = 374,674.65/507.58
  6. Step 6: Final answer
    x = 738.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.