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Finding the Fourth Proportional to 476.57, 714.69 and 293.42

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Solution

The fourth proportional to 476.57, 714.69 and 293.42 is: 440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.57 : 714.69 = 293.42 : x
  2. Step 2: Convert to fraction form
    476.57/714.69 = 293.42/x
  3. Step 3: Cross multiply
    476.57x = 714.69 × 293.42
  4. Step 4: Simplify right side
    476.57x = 209,704.34
  5. Step 5: Solve for x
    x = 209,704.34/476.57
  6. Step 6: Final answer
    x = 440.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.