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Finding the Fourth Proportional to 718.02, 990.42 and 423.09

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Solution

The fourth proportional to 718.02, 990.42 and 423.09 is: 583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.02 : 990.42 = 423.09 : x
  2. Step 2: Convert to fraction form
    718.02/990.42 = 423.09/x
  3. Step 3: Cross multiply
    718.02x = 990.42 × 423.09
  4. Step 4: Simplify right side
    718.02x = 419,036.80
  5. Step 5: Solve for x
    x = 419,036.80/718.02
  6. Step 6: Final answer
    x = 583.60

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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.