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Finding the Fourth Proportional to 873.69, 1,205.71 and 500.78

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Solution

The fourth proportional to 873.69, 1,205.71 and 500.78 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.69 : 1,205.71 = 500.78 : x
  2. Step 2: Convert to fraction form
    873.69/1,205.71 = 500.78/x
  3. Step 3: Cross multiply
    873.69x = 1,205.71 × 500.78
  4. Step 4: Simplify right side
    873.69x = 603,797.22
  5. Step 5: Solve for x
    x = 603,797.22/873.69
  6. Step 6: Final answer
    x = 691.09

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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.