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Finding the Fourth Proportional to 519.89, 717.02 and 457.58

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Solution

The fourth proportional to 519.89, 717.02 and 457.58 is: 631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.89 : 717.02 = 457.58 : x
  2. Step 2: Convert to fraction form
    519.89/717.02 = 457.58/x
  3. Step 3: Cross multiply
    519.89x = 717.02 × 457.58
  4. Step 4: Simplify right side
    519.89x = 328,094.01
  5. Step 5: Solve for x
    x = 328,094.01/519.89
  6. Step 6: Final answer
    x = 631.09

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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.