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Finding the Fourth Proportional to 895.86, 1,236.29 and 492.10

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Solution

The fourth proportional to 895.86, 1,236.29 and 492.10 is: 679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.86 : 1,236.29 = 492.10 : x
  2. Step 2: Convert to fraction form
    895.86/1,236.29 = 492.10/x
  3. Step 3: Cross multiply
    895.86x = 1,236.29 × 492.10
  4. Step 4: Simplify right side
    895.86x = 608,377.62
  5. Step 5: Solve for x
    x = 608,377.62/895.86
  6. Step 6: Final answer
    x = 679.10

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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.