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Finding the Fourth Proportional to 501.78, 691.92 and 354.36

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Solution

The fourth proportional to 501.78, 691.92 and 354.36 is: 488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.78 : 691.92 = 354.36 : x
  2. Step 2: Convert to fraction form
    501.78/691.92 = 354.36/x
  3. Step 3: Cross multiply
    501.78x = 691.92 × 354.36
  4. Step 4: Simplify right side
    501.78x = 245,188.77
  5. Step 5: Solve for x
    x = 245,188.77/501.78
  6. Step 6: Final answer
    x = 488.64

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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.