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Finding the Fourth Proportional to 431.64, 595.02 and 414.63

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Solution

The fourth proportional to 431.64, 595.02 and 414.63 is: 571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.64 : 595.02 = 414.63 : x
  2. Step 2: Convert to fraction form
    431.64/595.02 = 414.63/x
  3. Step 3: Cross multiply
    431.64x = 595.02 × 414.63
  4. Step 4: Simplify right side
    431.64x = 246,713.14
  5. Step 5: Solve for x
    x = 246,713.14/431.64
  6. Step 6: Final answer
    x = 571.57

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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.