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Finding the Fourth Proportional to 553.39, 763.63 and 320.47

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Solution

The fourth proportional to 553.39, 763.63 and 320.47 is: 442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.39 : 763.63 = 320.47 : x
  2. Step 2: Convert to fraction form
    553.39/763.63 = 320.47/x
  3. Step 3: Cross multiply
    553.39x = 763.63 × 320.47
  4. Step 4: Simplify right side
    553.39x = 244,720.51
  5. Step 5: Solve for x
    x = 244,720.51/553.39
  6. Step 6: Final answer
    x = 442.22

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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.