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Finding the Fourth Proportional to 1,328.29, 1,992.42 and 597.35

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Solution

The fourth proportional to 1,328.29, 1,992.42 and 597.35 is: 896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.29 : 1,992.42 = 597.35 : x
  2. Step 2: Convert to fraction form
    1,328.29/1,992.42 = 597.35/x
  3. Step 3: Cross multiply
    1,328.29x = 1,992.42 × 597.35
  4. Step 4: Simplify right side
    1,328.29x = 1,190,178.56
  5. Step 5: Solve for x
    x = 1,190,178.56/1,328.29
  6. Step 6: Final answer
    x = 896.02

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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.