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Finding the Fourth Proportional to 630.72, 945.36 and 288

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Solution

The fourth proportional to 630.72, 945.36 and 288 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.72 : 945.36 = 288 : x
  2. Step 2: Convert to fraction form
    630.72/945.36 = 288/x
  3. Step 3: Cross multiply
    630.72x = 945.36 × 288
  4. Step 4: Simplify right side
    630.72x = 272,263.68
  5. Step 5: Solve for x
    x = 272,263.68/630.72
  6. Step 6: Final answer
    x = 431.67

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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.