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Finding the Fourth Proportional to 553.13, 763.33 and 304.46

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Solution

The fourth proportional to 553.13, 763.33 and 304.46 is: 420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.13 : 763.33 = 304.46 : x
  2. Step 2: Convert to fraction form
    553.13/763.33 = 304.46/x
  3. Step 3: Cross multiply
    553.13x = 763.33 × 304.46
  4. Step 4: Simplify right side
    553.13x = 232,403.16
  5. Step 5: Solve for x
    x = 232,403.16/553.13
  6. Step 6: Final answer
    x = 420.16

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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.