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Finding the Fourth Proportional to 895.79, 1,236.60 and 601.22

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Solution

The fourth proportional to 895.79, 1,236.60 and 601.22 is: 829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.79 : 1,236.60 = 601.22 : x
  2. Step 2: Convert to fraction form
    895.79/1,236.60 = 601.22/x
  3. Step 3: Cross multiply
    895.79x = 1,236.60 × 601.22
  4. Step 4: Simplify right side
    895.79x = 743,471.74
  5. Step 5: Solve for x
    x = 743,471.74/895.79
  6. Step 6: Final answer
    x = 829.96

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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.