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Finding the Fourth Proportional to 714.12, 985.39 and 419.41

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Solution

The fourth proportional to 714.12, 985.39 and 419.41 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.12 : 985.39 = 419.41 : x
  2. Step 2: Convert to fraction form
    714.12/985.39 = 419.41/x
  3. Step 3: Cross multiply
    714.12x = 985.39 × 419.41
  4. Step 4: Simplify right side
    714.12x = 413,282.42
  5. Step 5: Solve for x
    x = 413,282.42/714.12
  6. Step 6: Final answer
    x = 578.73

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1.5x scale

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.