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Finding the Fourth Proportional to 557.96, 770.13 and 322.03

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Solution

The fourth proportional to 557.96, 770.13 and 322.03 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 770.13 = 322.03 : x
  2. Step 2: Convert to fraction form
    557.96/770.13 = 322.03/x
  3. Step 3: Cross multiply
    557.96x = 770.13 × 322.03
  4. Step 4: Simplify right side
    557.96x = 248,004.96
  5. Step 5: Solve for x
    x = 248,004.96/557.96
  6. Step 6: Final answer
    x = 444.49

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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.