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Finding the Fourth Proportional to 501.14, 690.76 and 353.54

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Solution

The fourth proportional to 501.14, 690.76 and 353.54 is: 487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.14 : 690.76 = 353.54 : x
  2. Step 2: Convert to fraction form
    501.14/690.76 = 353.54/x
  3. Step 3: Cross multiply
    501.14x = 690.76 × 353.54
  4. Step 4: Simplify right side
    501.14x = 244,206.95
  5. Step 5: Solve for x
    x = 244,206.95/501.14
  6. Step 6: Final answer
    x = 487.31

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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.