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Finding the Fourth Proportional to 507.19, 760.45 and 409.81

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Solution

The fourth proportional to 507.19, 760.45 and 409.81 is: 614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.19 : 760.45 = 409.81 : x
  2. Step 2: Convert to fraction form
    507.19/760.45 = 409.81/x
  3. Step 3: Cross multiply
    507.19x = 760.45 × 409.81
  4. Step 4: Simplify right side
    507.19x = 311,640.01
  5. Step 5: Solve for x
    x = 311,640.01/507.19
  6. Step 6: Final answer
    x = 614.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.