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Finding the Fourth Proportional to 478.81, 714.06 and 417.46

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Solution

The fourth proportional to 478.81, 714.06 and 417.46 is: 622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.81 : 714.06 = 417.46 : x
  2. Step 2: Convert to fraction form
    478.81/714.06 = 417.46/x
  3. Step 3: Cross multiply
    478.81x = 714.06 × 417.46
  4. Step 4: Simplify right side
    478.81x = 298,089.33
  5. Step 5: Solve for x
    x = 298,089.33/478.81
  6. Step 6: Final answer
    x = 622.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.