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Finding the Fourth Proportional to 905.44, 1,358.16 and 595.05

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Solution

The fourth proportional to 905.44, 1,358.16 and 595.05 is: 892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.44 : 1,358.16 = 595.05 : x
  2. Step 2: Convert to fraction form
    905.44/1,358.16 = 595.05/x
  3. Step 3: Cross multiply
    905.44x = 1,358.16 × 595.05
  4. Step 4: Simplify right side
    905.44x = 808,165.78
  5. Step 5: Solve for x
    x = 808,165.78/905.44
  6. Step 6: Final answer
    x = 892.57

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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.