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Finding the Fourth Proportional to 476.58, 714.13 and 313.91

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Solution

The fourth proportional to 476.58, 714.13 and 313.91 is: 470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.58 : 714.13 = 313.91 : x
  2. Step 2: Convert to fraction form
    476.58/714.13 = 313.91/x
  3. Step 3: Cross multiply
    476.58x = 714.13 × 313.91
  4. Step 4: Simplify right side
    476.58x = 224,172.55
  5. Step 5: Solve for x
    x = 224,172.55/476.58
  6. Step 6: Final answer
    x = 470.38

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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.