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Finding the Fourth Proportional to 895.21, 1,343.35 and 484.34

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Solution

The fourth proportional to 895.21, 1,343.35 and 484.34 is: 726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.21 : 1,343.35 = 484.34 : x
  2. Step 2: Convert to fraction form
    895.21/1,343.35 = 484.34/x
  3. Step 3: Cross multiply
    895.21x = 1,343.35 × 484.34
  4. Step 4: Simplify right side
    895.21x = 650,635.25
  5. Step 5: Solve for x
    x = 650,635.25/895.21
  6. Step 6: Final answer
    x = 726.80

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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.