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Finding the Fourth Proportional to 476.76, 714.96 and 314.40

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Solution

The fourth proportional to 476.76, 714.96 and 314.40 is: 471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 714.96 = 314.40 : x
  2. Step 2: Convert to fraction form
    476.76/714.96 = 314.40/x
  3. Step 3: Cross multiply
    476.76x = 714.96 × 314.40
  4. Step 4: Simplify right side
    476.76x = 224,783.42
  5. Step 5: Solve for x
    x = 224,783.42/476.76
  6. Step 6: Final answer
    x = 471.48

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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.