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Finding the Fourth Proportional to 477.44, 714.78 and 294.28

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Solution

The fourth proportional to 477.44, 714.78 and 294.28 is: 440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.44 : 714.78 = 294.28 : x
  2. Step 2: Convert to fraction form
    477.44/714.78 = 294.28/x
  3. Step 3: Cross multiply
    477.44x = 714.78 × 294.28
  4. Step 4: Simplify right side
    477.44x = 210,345.46
  5. Step 5: Solve for x
    x = 210,345.46/477.44
  6. Step 6: Final answer
    x = 440.57

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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.