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Finding the Fourth Proportional to 519.74, 780 and 458.98

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Solution

The fourth proportional to 519.74, 780 and 458.98 is: 688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.74 : 780 = 458.98 : x
  2. Step 2: Convert to fraction form
    519.74/780 = 458.98/x
  3. Step 3: Cross multiply
    519.74x = 780 × 458.98
  4. Step 4: Simplify right side
    519.74x = 358,004.40
  5. Step 5: Solve for x
    x = 358,004.40/519.74
  6. Step 6: Final answer
    x = 688.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.