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Finding the Fourth Proportional to 497.43, 750.13 and 490.59

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Solution

The fourth proportional to 497.43, 750.13 and 490.59 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.43 : 750.13 = 490.59 : x
  2. Step 2: Convert to fraction form
    497.43/750.13 = 490.59/x
  3. Step 3: Cross multiply
    497.43x = 750.13 × 490.59
  4. Step 4: Simplify right side
    497.43x = 368,003.82
  5. Step 5: Solve for x
    x = 368,003.82/497.43
  6. Step 6: Final answer
    x = 739.81

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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.