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Finding the Fourth Proportional to 1,329.29, 1,993.92 and 598.35

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Solution

The fourth proportional to 1,329.29, 1,993.92 and 598.35 is: 897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.29 : 1,993.92 = 598.35 : x
  2. Step 2: Convert to fraction form
    1,329.29/1,993.92 = 598.35/x
  3. Step 3: Cross multiply
    1,329.29x = 1,993.92 × 598.35
  4. Step 4: Simplify right side
    1,329.29x = 1,193,064.28
  5. Step 5: Solve for x
    x = 1,193,064.28/1,329.29
  6. Step 6: Final answer
    x = 897.52

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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.