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Finding the Fourth Proportional to 434.09, 597.02 and 378.87

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Solution

The fourth proportional to 434.09, 597.02 and 378.87 is: 521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.09 : 597.02 = 378.87 : x
  2. Step 2: Convert to fraction form
    434.09/597.02 = 378.87/x
  3. Step 3: Cross multiply
    434.09x = 597.02 × 378.87
  4. Step 4: Simplify right side
    434.09x = 226,191.07
  5. Step 5: Solve for x
    x = 226,191.07/434.09
  6. Step 6: Final answer
    x = 521.08

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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.