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Finding the Fourth Proportional to 820.09, 1,131.46 and 509.77

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Solution

The fourth proportional to 820.09, 1,131.46 and 509.77 is: 703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.09 : 1,131.46 = 509.77 : x
  2. Step 2: Convert to fraction form
    820.09/1,131.46 = 509.77/x
  3. Step 3: Cross multiply
    820.09x = 1,131.46 × 509.77
  4. Step 4: Simplify right side
    820.09x = 576,784.36
  5. Step 5: Solve for x
    x = 576,784.36/820.09
  6. Step 6: Final answer
    x = 703.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.