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Finding the Fourth Proportional to 873.26, 1,205.14 and 578.02

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Solution

The fourth proportional to 873.26, 1,205.14 and 578.02 is: 797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.26 : 1,205.14 = 578.02 : x
  2. Step 2: Convert to fraction form
    873.26/1,205.14 = 578.02/x
  3. Step 3: Cross multiply
    873.26x = 1,205.14 × 578.02
  4. Step 4: Simplify right side
    873.26x = 696,595.02
  5. Step 5: Solve for x
    x = 696,595.02/873.26
  6. Step 6: Final answer
    x = 797.69

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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.