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Finding the Fourth Proportional to 433.08, 597.45 and 314.75

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Solution

The fourth proportional to 433.08, 597.45 and 314.75 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.08 : 597.45 = 314.75 : x
  2. Step 2: Convert to fraction form
    433.08/597.45 = 314.75/x
  3. Step 3: Cross multiply
    433.08x = 597.45 × 314.75
  4. Step 4: Simplify right side
    433.08x = 188,047.39
  5. Step 5: Solve for x
    x = 188,047.39/433.08
  6. Step 6: Final answer
    x = 434.21

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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.