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Finding the Fourth Proportional to 714.02, 984.94 and 419.23

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Solution

The fourth proportional to 714.02, 984.94 and 419.23 is: 578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 984.94 = 419.23 : x
  2. Step 2: Convert to fraction form
    714.02/984.94 = 419.23/x
  3. Step 3: Cross multiply
    714.02x = 984.94 × 419.23
  4. Step 4: Simplify right side
    714.02x = 412,912.89
  5. Step 5: Solve for x
    x = 412,912.89/714.02
  6. Step 6: Final answer
    x = 578.30

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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.