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Finding the Fourth Proportional to 873.99, 1,206.39 and 520.02

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Solution

The fourth proportional to 873.99, 1,206.39 and 520.02 is: 717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.99 : 1,206.39 = 520.02 : x
  2. Step 2: Convert to fraction form
    873.99/1,206.39 = 520.02/x
  3. Step 3: Cross multiply
    873.99x = 1,206.39 × 520.02
  4. Step 4: Simplify right side
    873.99x = 627,348.88
  5. Step 5: Solve for x
    x = 627,348.88/873.99
  6. Step 6: Final answer
    x = 717.80

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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.