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Finding the Fourth Proportional to 522.89, 721.71 and 357.50

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Solution

The fourth proportional to 522.89, 721.71 and 357.50 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.89 : 721.71 = 357.50 : x
  2. Step 2: Convert to fraction form
    522.89/721.71 = 357.50/x
  3. Step 3: Cross multiply
    522.89x = 721.71 × 357.50
  4. Step 4: Simplify right side
    522.89x = 258,011.33
  5. Step 5: Solve for x
    x = 258,011.33/522.89
  6. Step 6: Final answer
    x = 493.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.