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Finding the Fourth Proportional to 1,553.16, 2,329.76 and 398.91

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Solution

The fourth proportional to 1,553.16, 2,329.76 and 398.91 is: 598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.16 : 2,329.76 = 398.91 : x
  2. Step 2: Convert to fraction form
    1,553.16/2,329.76 = 398.91/x
  3. Step 3: Cross multiply
    1,553.16x = 2,329.76 × 398.91
  4. Step 4: Simplify right side
    1,553.16x = 929,362.57
  5. Step 5: Solve for x
    x = 929,362.57/1,553.16
  6. Step 6: Final answer
    x = 598.37

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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.