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Finding the Fourth Proportional to 501.57, 757.80 and 497.25

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Solution

The fourth proportional to 501.57, 757.80 and 497.25 is: 751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 757.80 = 497.25 : x
  2. Step 2: Convert to fraction form
    501.57/757.80 = 497.25/x
  3. Step 3: Cross multiply
    501.57x = 757.80 × 497.25
  4. Step 4: Simplify right side
    501.57x = 376,816.05
  5. Step 5: Solve for x
    x = 376,816.05/501.57
  6. Step 6: Final answer
    x = 751.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.