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Finding the Fourth Proportional to 477.22, 714.88 and 314.41

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Solution

The fourth proportional to 477.22, 714.88 and 314.41 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.22 : 714.88 = 314.41 : x
  2. Step 2: Convert to fraction form
    477.22/714.88 = 314.41/x
  3. Step 3: Cross multiply
    477.22x = 714.88 × 314.41
  4. Step 4: Simplify right side
    477.22x = 224,762.85
  5. Step 5: Solve for x
    x = 224,762.85/477.22
  6. Step 6: Final answer
    x = 470.99

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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.