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Finding the Fourth Proportional to 501.69, 691.56 and 354

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Solution

The fourth proportional to 501.69, 691.56 and 354 is: 487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.69 : 691.56 = 354 : x
  2. Step 2: Convert to fraction form
    501.69/691.56 = 354/x
  3. Step 3: Cross multiply
    501.69x = 691.56 × 354
  4. Step 4: Simplify right side
    501.69x = 244,812.24
  5. Step 5: Solve for x
    x = 244,812.24/501.69
  6. Step 6: Final answer
    x = 487.98

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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.