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Finding the Fourth Proportional to 519.50, 775.45 and 458.00

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Solution

The fourth proportional to 519.50, 775.45 and 458.00 is: 683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 775.45 = 458.00 : x
  2. Step 2: Convert to fraction form
    519.50/775.45 = 458.00/x
  3. Step 3: Cross multiply
    519.50x = 775.45 × 458.00
  4. Step 4: Simplify right side
    519.50x = 355,155.70
  5. Step 5: Solve for x
    x = 355,155.70/519.50
  6. Step 6: Final answer
    x = 683.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.