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Finding the Fourth Proportional to 895.77, 1,236.17 and 522.97

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Solution

The fourth proportional to 895.77, 1,236.17 and 522.97 is: 721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.77 : 1,236.17 = 522.97 : x
  2. Step 2: Convert to fraction form
    895.77/1,236.17 = 522.97/x
  3. Step 3: Cross multiply
    895.77x = 1,236.17 × 522.97
  4. Step 4: Simplify right side
    895.77x = 646,477.21
  5. Step 5: Solve for x
    x = 646,477.21/895.77
  6. Step 6: Final answer
    x = 721.70

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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.