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Finding the Fourth Proportional to 873, 1,204.20 and 578.16

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Solution

The fourth proportional to 873, 1,204.20 and 578.16 is: 797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    873 : 1,204.20 = 578.16 : x
  2. Step 2: Convert to fraction form
    873/1,204.20 = 578.16/x
  3. Step 3: Cross multiply
    873x = 1,204.20 × 578.16
  4. Step 4: Simplify right side
    873x = 696,220.27
  5. Step 5: Solve for x
    x = 696,220.27/873
  6. Step 6: Final answer
    x = 797.50

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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.