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Finding the Fourth Proportional to 497.90, 749.69 and 440.48

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Solution

The fourth proportional to 497.90, 749.69 and 440.48 is: 663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.90 : 749.69 = 440.48 : x
  2. Step 2: Convert to fraction form
    497.90/749.69 = 440.48/x
  3. Step 3: Cross multiply
    497.90x = 749.69 × 440.48
  4. Step 4: Simplify right side
    497.90x = 330,223.45
  5. Step 5: Solve for x
    x = 330,223.45/497.90
  6. Step 6: Final answer
    x = 663.23

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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.