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Finding the Fourth Proportional to 557.96, 770.02 and 325.08

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Solution

The fourth proportional to 557.96, 770.02 and 325.08 is: 448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 770.02 = 325.08 : x
  2. Step 2: Convert to fraction form
    557.96/770.02 = 325.08/x
  3. Step 3: Cross multiply
    557.96x = 770.02 × 325.08
  4. Step 4: Simplify right side
    557.96x = 250,318.10
  5. Step 5: Solve for x
    x = 250,318.10/557.96
  6. Step 6: Final answer
    x = 448.63

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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.