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Finding the Fourth Proportional to 714.38, 985.90 and 419.66

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Solution

The fourth proportional to 714.38, 985.90 and 419.66 is: 579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.38 : 985.90 = 419.66 : x
  2. Step 2: Convert to fraction form
    714.38/985.90 = 419.66/x
  3. Step 3: Cross multiply
    714.38x = 985.90 × 419.66
  4. Step 4: Simplify right side
    714.38x = 413,742.79
  5. Step 5: Solve for x
    x = 413,742.79/714.38
  6. Step 6: Final answer
    x = 579.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.