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Finding the Fourth Proportional to 507.45, 756.22 and 491.05

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Solution

The fourth proportional to 507.45, 756.22 and 491.05 is: 731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.45 : 756.22 = 491.05 : x
  2. Step 2: Convert to fraction form
    507.45/756.22 = 491.05/x
  3. Step 3: Cross multiply
    507.45x = 756.22 × 491.05
  4. Step 4: Simplify right side
    507.45x = 371,343.48
  5. Step 5: Solve for x
    x = 371,343.48/507.45
  6. Step 6: Final answer
    x = 731.78

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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.