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Finding the Fourth Proportional to 895.58, 1,340.22 and 548.81

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Solution

The fourth proportional to 895.58, 1,340.22 and 548.81 is: 821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.58 : 1,340.22 = 548.81 : x
  2. Step 2: Convert to fraction form
    895.58/1,340.22 = 548.81/x
  3. Step 3: Cross multiply
    895.58x = 1,340.22 × 548.81
  4. Step 4: Simplify right side
    895.58x = 735,526.14
  5. Step 5: Solve for x
    x = 735,526.14/895.58
  6. Step 6: Final answer
    x = 821.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.