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Finding the Fourth Proportional to 507.40, 756.81 and 465.44

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Solution

The fourth proportional to 507.40, 756.81 and 465.44 is: 694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.40 : 756.81 = 465.44 : x
  2. Step 2: Convert to fraction form
    507.40/756.81 = 465.44/x
  3. Step 3: Cross multiply
    507.40x = 756.81 × 465.44
  4. Step 4: Simplify right side
    507.40x = 352,249.65
  5. Step 5: Solve for x
    x = 352,249.65/507.40
  6. Step 6: Final answer
    x = 694.22

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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.