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Finding the Fourth Proportional to 447.58, 614.14 and 435.34

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Solution

The fourth proportional to 447.58, 614.14 and 435.34 is: 597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.58 : 614.14 = 435.34 : x
  2. Step 2: Convert to fraction form
    447.58/614.14 = 435.34/x
  3. Step 3: Cross multiply
    447.58x = 614.14 × 435.34
  4. Step 4: Simplify right side
    447.58x = 267,359.71
  5. Step 5: Solve for x
    x = 267,359.71/447.58
  6. Step 6: Final answer
    x = 597.35

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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.