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Finding the Fourth Proportional to 477.85, 714.94 and 356.65

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Solution

The fourth proportional to 477.85, 714.94 and 356.65 is: 533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.85 : 714.94 = 356.65 : x
  2. Step 2: Convert to fraction form
    477.85/714.94 = 356.65/x
  3. Step 3: Cross multiply
    477.85x = 714.94 × 356.65
  4. Step 4: Simplify right side
    477.85x = 254,983.35
  5. Step 5: Solve for x
    x = 254,983.35/477.85
  6. Step 6: Final answer
    x = 533.61

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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.