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Finding the Fourth Proportional to 477.26, 714.10 and 399.40

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Solution

The fourth proportional to 477.26, 714.10 and 399.40 is: 597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.26 : 714.10 = 399.40 : x
  2. Step 2: Convert to fraction form
    477.26/714.10 = 399.40/x
  3. Step 3: Cross multiply
    477.26x = 714.10 × 399.40
  4. Step 4: Simplify right side
    477.26x = 285,211.54
  5. Step 5: Solve for x
    x = 285,211.54/477.26
  6. Step 6: Final answer
    x = 597.60

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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.