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Finding the Fourth Proportional to 772.83, 1,156.35 and 459.33

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Solution

The fourth proportional to 772.83, 1,156.35 and 459.33 is: 687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.83 : 1,156.35 = 459.33 : x
  2. Step 2: Convert to fraction form
    772.83/1,156.35 = 459.33/x
  3. Step 3: Cross multiply
    772.83x = 1,156.35 × 459.33
  4. Step 4: Simplify right side
    772.83x = 531,153.39
  5. Step 5: Solve for x
    x = 531,153.39/772.83
  6. Step 6: Final answer
    x = 687.28

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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.