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Finding the Fourth Proportional to 507.40, 756.17 and 496.48

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Solution

The fourth proportional to 507.40, 756.17 and 496.48 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.40 : 756.17 = 496.48 : x
  2. Step 2: Convert to fraction form
    507.40/756.17 = 496.48/x
  3. Step 3: Cross multiply
    507.40x = 756.17 × 496.48
  4. Step 4: Simplify right side
    507.40x = 375,423.28
  5. Step 5: Solve for x
    x = 375,423.28/507.40
  6. Step 6: Final answer
    x = 739.90

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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.