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Finding the Fourth Proportional to 557.17, 769.67 and 434.41

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Solution

The fourth proportional to 557.17, 769.67 and 434.41 is: 600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.17 : 769.67 = 434.41 : x
  2. Step 2: Convert to fraction form
    557.17/769.67 = 434.41/x
  3. Step 3: Cross multiply
    557.17x = 769.67 × 434.41
  4. Step 4: Simplify right side
    557.17x = 334,352.34
  5. Step 5: Solve for x
    x = 334,352.34/557.17
  6. Step 6: Final answer
    x = 600.09

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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.