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Finding the Fourth Proportional to 1,089.72, 1,635.14 and 596.48

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Solution

The fourth proportional to 1,089.72, 1,635.14 and 596.48 is: 895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.72 : 1,635.14 = 596.48 : x
  2. Step 2: Convert to fraction form
    1,089.72/1,635.14 = 596.48/x
  3. Step 3: Cross multiply
    1,089.72x = 1,635.14 × 596.48
  4. Step 4: Simplify right side
    1,089.72x = 975,328.31
  5. Step 5: Solve for x
    x = 975,328.31/1,089.72
  6. Step 6: Final answer
    x = 895.03

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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.