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Finding the Fourth Proportional to 501.27, 748.58 and 495.84

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Solution

The fourth proportional to 501.27, 748.58 and 495.84 is: 740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.27 : 748.58 = 495.84 : x
  2. Step 2: Convert to fraction form
    501.27/748.58 = 495.84/x
  3. Step 3: Cross multiply
    501.27x = 748.58 × 495.84
  4. Step 4: Simplify right side
    501.27x = 371,173.43
  5. Step 5: Solve for x
    x = 371,173.43/501.27
  6. Step 6: Final answer
    x = 740.47

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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.