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Finding the Fourth Proportional to 598, 824.80 and 401.16

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Solution

The fourth proportional to 598, 824.80 and 401.16 is: 553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 824.80 = 401.16 : x
  2. Step 2: Convert to fraction form
    598/824.80 = 401.16/x
  3. Step 3: Cross multiply
    598x = 824.80 × 401.16
  4. Step 4: Simplify right side
    598x = 330,876.77
  5. Step 5: Solve for x
    x = 330,876.77/598
  6. Step 6: Final answer
    x = 553.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.