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Finding the Fourth Proportional to 497.85, 688.34 and 436.34

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Solution

The fourth proportional to 497.85, 688.34 and 436.34 is: 603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.85 : 688.34 = 436.34 : x
  2. Step 2: Convert to fraction form
    497.85/688.34 = 436.34/x
  3. Step 3: Cross multiply
    497.85x = 688.34 × 436.34
  4. Step 4: Simplify right side
    497.85x = 300,350.28
  5. Step 5: Solve for x
    x = 300,350.28/497.85
  6. Step 6: Final answer
    x = 603.29

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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.