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Finding the Fourth Proportional to 700.59, 1,054.97 and 519.27

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Solution

The fourth proportional to 700.59, 1,054.97 and 519.27 is: 781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.59 : 1,054.97 = 519.27 : x
  2. Step 2: Convert to fraction form
    700.59/1,054.97 = 519.27/x
  3. Step 3: Cross multiply
    700.59x = 1,054.97 × 519.27
  4. Step 4: Simplify right side
    700.59x = 547,814.27
  5. Step 5: Solve for x
    x = 547,814.27/700.59
  6. Step 6: Final answer
    x = 781.93

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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.