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Finding the Fourth Proportional to 895.72, 1,236.02 and 522.80

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Solution

The fourth proportional to 895.72, 1,236.02 and 522.80 is: 721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.72 : 1,236.02 = 522.80 : x
  2. Step 2: Convert to fraction form
    895.72/1,236.02 = 522.80/x
  3. Step 3: Cross multiply
    895.72x = 1,236.02 × 522.80
  4. Step 4: Simplify right side
    895.72x = 646,191.26
  5. Step 5: Solve for x
    x = 646,191.26/895.72
  6. Step 6: Final answer
    x = 721.42

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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.