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Finding the Fourth Proportional to 700.90, 1,049.27 and 519.10

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Solution

The fourth proportional to 700.90, 1,049.27 and 519.10 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.90 : 1,049.27 = 519.10 : x
  2. Step 2: Convert to fraction form
    700.90/1,049.27 = 519.10/x
  3. Step 3: Cross multiply
    700.90x = 1,049.27 × 519.10
  4. Step 4: Simplify right side
    700.90x = 544,676.06
  5. Step 5: Solve for x
    x = 544,676.06/700.90
  6. Step 6: Final answer
    x = 777.11

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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.