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Finding the Fourth Proportional to 522.84, 719.96 and 444.27

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Solution

The fourth proportional to 522.84, 719.96 and 444.27 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 719.96 = 444.27 : x
  2. Step 2: Convert to fraction form
    522.84/719.96 = 444.27/x
  3. Step 3: Cross multiply
    522.84x = 719.96 × 444.27
  4. Step 4: Simplify right side
    522.84x = 319,854.41
  5. Step 5: Solve for x
    x = 319,854.41/522.84
  6. Step 6: Final answer
    x = 611.76

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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.