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Finding the Fourth Proportional to 895.70, 1,343.34 and 318.58

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Solution

The fourth proportional to 895.70, 1,343.34 and 318.58 is: 477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.70 : 1,343.34 = 318.58 : x
  2. Step 2: Convert to fraction form
    895.70/1,343.34 = 318.58/x
  3. Step 3: Cross multiply
    895.70x = 1,343.34 × 318.58
  4. Step 4: Simplify right side
    895.70x = 427,961.26
  5. Step 5: Solve for x
    x = 427,961.26/895.70
  6. Step 6: Final answer
    x = 477.80

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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.