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Finding the Fourth Proportional to 476.69, 714.60 and 257.42

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Solution

The fourth proportional to 476.69, 714.60 and 257.42 is: 385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 714.60 = 257.42 : x
  2. Step 2: Convert to fraction form
    476.69/714.60 = 257.42/x
  3. Step 3: Cross multiply
    476.69x = 714.60 × 257.42
  4. Step 4: Simplify right side
    476.69x = 183,948.76
  5. Step 5: Solve for x
    x = 183,948.76/476.69
  6. Step 6: Final answer
    x = 385.89

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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.