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Finding the Fourth Proportional to 434.56, 597.32 and 389.92

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Solution

The fourth proportional to 434.56, 597.32 and 389.92 is: 535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.56 : 597.32 = 389.92 : x
  2. Step 2: Convert to fraction form
    434.56/597.32 = 389.92/x
  3. Step 3: Cross multiply
    434.56x = 597.32 × 389.92
  4. Step 4: Simplify right side
    434.56x = 232,907.01
  5. Step 5: Solve for x
    x = 232,907.01/434.56
  6. Step 6: Final answer
    x = 535.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.