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Finding the Fourth Proportional to 519.35, 781.62 and 390.02

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Solution

The fourth proportional to 519.35, 781.62 and 390.02 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.35 : 781.62 = 390.02 : x
  2. Step 2: Convert to fraction form
    519.35/781.62 = 390.02/x
  3. Step 3: Cross multiply
    519.35x = 781.62 × 390.02
  4. Step 4: Simplify right side
    519.35x = 304,842.06
  5. Step 5: Solve for x
    x = 304,842.06/519.35
  6. Step 6: Final answer
    x = 586.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.