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Finding the Fourth Proportional to 522.57, 717.37 and 448.76

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Solution

The fourth proportional to 522.57, 717.37 and 448.76 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 717.37 = 448.76 : x
  2. Step 2: Convert to fraction form
    522.57/717.37 = 448.76/x
  3. Step 3: Cross multiply
    522.57x = 717.37 × 448.76
  4. Step 4: Simplify right side
    522.57x = 321,926.96
  5. Step 5: Solve for x
    x = 321,926.96/522.57
  6. Step 6: Final answer
    x = 616.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.