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Finding the Fourth Proportional to 497, 686.10 and 313

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Solution

The fourth proportional to 497, 686.10 and 313 is: 432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497 : 686.10 = 313 : x
  2. Step 2: Convert to fraction form
    497/686.10 = 313/x
  3. Step 3: Cross multiply
    497x = 686.10 × 313
  4. Step 4: Simplify right side
    497x = 214,749.30
  5. Step 5: Solve for x
    x = 214,749.30/497
  6. Step 6: Final answer
    x = 432.09

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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.