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Finding the Fourth Proportional to 501.96, 753.66 and 328.08

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Solution

The fourth proportional to 501.96, 753.66 and 328.08 is: 492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 753.66 = 328.08 : x
  2. Step 2: Convert to fraction form
    501.96/753.66 = 328.08/x
  3. Step 3: Cross multiply
    501.96x = 753.66 × 328.08
  4. Step 4: Simplify right side
    501.96x = 247,260.77
  5. Step 5: Solve for x
    x = 247,260.77/501.96
  6. Step 6: Final answer
    x = 492.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.