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Finding the Fourth Proportional to 1,397.35, 2,095.45 and 519.91

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Solution

The fourth proportional to 1,397.35, 2,095.45 and 519.91 is: 779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.35 : 2,095.45 = 519.91 : x
  2. Step 2: Convert to fraction form
    1,397.35/2,095.45 = 519.91/x
  3. Step 3: Cross multiply
    1,397.35x = 2,095.45 × 519.91
  4. Step 4: Simplify right side
    1,397.35x = 1,089,438.87
  5. Step 5: Solve for x
    x = 1,089,438.87/1,397.35
  6. Step 6: Final answer
    x = 779.65

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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.