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Finding the Fourth Proportional to 538.57, 741.75 and 497.56

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Solution

The fourth proportional to 538.57, 741.75 and 497.56 is: 685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.57 : 741.75 = 497.56 : x
  2. Step 2: Convert to fraction form
    538.57/741.75 = 497.56/x
  3. Step 3: Cross multiply
    538.57x = 741.75 × 497.56
  4. Step 4: Simplify right side
    538.57x = 369,065.60
  5. Step 5: Solve for x
    x = 369,065.60/538.57
  6. Step 6: Final answer
    x = 685.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.