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Finding the Fourth Proportional to 476.76, 714.55 and 339.52

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Solution

The fourth proportional to 476.76, 714.55 and 339.52 is: 508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 714.55 = 339.52 : x
  2. Step 2: Convert to fraction form
    476.76/714.55 = 339.52/x
  3. Step 3: Cross multiply
    476.76x = 714.55 × 339.52
  4. Step 4: Simplify right side
    476.76x = 242,604.02
  5. Step 5: Solve for x
    x = 242,604.02/476.76
  6. Step 6: Final answer
    x = 508.86

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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.