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Finding the Fourth Proportional to 553.04, 763.17 and 304.35

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Solution

The fourth proportional to 553.04, 763.17 and 304.35 is: 419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.04 : 763.17 = 304.35 : x
  2. Step 2: Convert to fraction form
    553.04/763.17 = 304.35/x
  3. Step 3: Cross multiply
    553.04x = 763.17 × 304.35
  4. Step 4: Simplify right side
    553.04x = 232,270.79
  5. Step 5: Solve for x
    x = 232,270.79/553.04
  6. Step 6: Final answer
    x = 419.99

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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.