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Finding the Fourth Proportional to 497.70, 686.43 and 320.46

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Solution

The fourth proportional to 497.70, 686.43 and 320.46 is: 441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 686.43 = 320.46 : x
  2. Step 2: Convert to fraction form
    497.70/686.43 = 320.46/x
  3. Step 3: Cross multiply
    497.70x = 686.43 × 320.46
  4. Step 4: Simplify right side
    497.70x = 219,973.36
  5. Step 5: Solve for x
    x = 219,973.36/497.70
  6. Step 6: Final answer
    x = 441.98

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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.