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Finding the Fourth Proportional to 895.81, 1,235.99 and 686.22

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Solution

The fourth proportional to 895.81, 1,235.99 and 686.22 is: 946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.81 : 1,235.99 = 686.22 : x
  2. Step 2: Convert to fraction form
    895.81/1,235.99 = 686.22/x
  3. Step 3: Cross multiply
    895.81x = 1,235.99 × 686.22
  4. Step 4: Simplify right side
    895.81x = 848,161.06
  5. Step 5: Solve for x
    x = 848,161.06/895.81
  6. Step 6: Final answer
    x = 946.81

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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.