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Finding the Fourth Proportional to 873.58, 1,204.86 and 578.74

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Solution

The fourth proportional to 873.58, 1,204.86 and 578.74 is: 798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.58 : 1,204.86 = 578.74 : x
  2. Step 2: Convert to fraction form
    873.58/1,204.86 = 578.74/x
  3. Step 3: Cross multiply
    873.58x = 1,204.86 × 578.74
  4. Step 4: Simplify right side
    873.58x = 697,300.68
  5. Step 5: Solve for x
    x = 697,300.68/873.58
  6. Step 6: Final answer
    x = 798.21

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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.