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Finding the Fourth Proportional to 608.72, 913.20 and 352

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Solution

The fourth proportional to 608.72, 913.20 and 352 is: 528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.72 : 913.20 = 352 : x
  2. Step 2: Convert to fraction form
    608.72/913.20 = 352/x
  3. Step 3: Cross multiply
    608.72x = 913.20 × 352
  4. Step 4: Simplify right side
    608.72x = 321,446.40
  5. Step 5: Solve for x
    x = 321,446.40/608.72
  6. Step 6: Final answer
    x = 528.07

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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.