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Finding the Fourth Proportional to 873.55, 1,205.34 and 578.71

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Solution

The fourth proportional to 873.55, 1,205.34 and 578.71 is: 798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.55 : 1,205.34 = 578.71 : x
  2. Step 2: Convert to fraction form
    873.55/1,205.34 = 578.71/x
  3. Step 3: Cross multiply
    873.55x = 1,205.34 × 578.71
  4. Step 4: Simplify right side
    873.55x = 697,542.31
  5. Step 5: Solve for x
    x = 697,542.31/873.55
  6. Step 6: Final answer
    x = 798.51

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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.