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Finding the Fourth Proportional to 479.92, 719.76 and 471.28

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Solution

The fourth proportional to 479.92, 719.76 and 471.28 is: 706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.92 : 719.76 = 471.28 : x
  2. Step 2: Convert to fraction form
    479.92/719.76 = 471.28/x
  3. Step 3: Cross multiply
    479.92x = 719.76 × 471.28
  4. Step 4: Simplify right side
    479.92x = 339,208.49
  5. Step 5: Solve for x
    x = 339,208.49/479.92
  6. Step 6: Final answer
    x = 706.80

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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.