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Finding the Fourth Proportional to 504.78, 756.90 and 495.60

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Solution

The fourth proportional to 504.78, 756.90 and 495.60 is: 743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.78 : 756.90 = 495.60 : x
  2. Step 2: Convert to fraction form
    504.78/756.90 = 495.60/x
  3. Step 3: Cross multiply
    504.78x = 756.90 × 495.60
  4. Step 4: Simplify right side
    504.78x = 375,119.64
  5. Step 5: Solve for x
    x = 375,119.64/504.78
  6. Step 6: Final answer
    x = 743.13

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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.