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Finding the Fourth Proportional to 714.14, 985.29 and 419.42

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Solution

The fourth proportional to 714.14, 985.29 and 419.42 is: 578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.14 : 985.29 = 419.42 : x
  2. Step 2: Convert to fraction form
    714.14/985.29 = 419.42/x
  3. Step 3: Cross multiply
    714.14x = 985.29 × 419.42
  4. Step 4: Simplify right side
    714.14x = 413,250.33
  5. Step 5: Solve for x
    x = 413,250.33/714.14
  6. Step 6: Final answer
    x = 578.67

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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.