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Finding the Fourth Proportional to 872.85, 1,204 and 578.01

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Solution

The fourth proportional to 872.85, 1,204 and 578.01 is: 797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.85 : 1,204 = 578.01 : x
  2. Step 2: Convert to fraction form
    872.85/1,204 = 578.01/x
  3. Step 3: Cross multiply
    872.85x = 1,204 × 578.01
  4. Step 4: Simplify right side
    872.85x = 695,924.04
  5. Step 5: Solve for x
    x = 695,924.04/872.85
  6. Step 6: Final answer
    x = 797.30

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1.5x scale

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.