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Finding the Fourth Proportional to 873.77, 1,205.65 and 519.90

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Solution

The fourth proportional to 873.77, 1,205.65 and 519.90 is: 717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.77 : 1,205.65 = 519.90 : x
  2. Step 2: Convert to fraction form
    873.77/1,205.65 = 519.90/x
  3. Step 3: Cross multiply
    873.77x = 1,205.65 × 519.90
  4. Step 4: Simplify right side
    873.77x = 626,814.42
  5. Step 5: Solve for x
    x = 626,814.42/873.77
  6. Step 6: Final answer
    x = 717.37

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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.