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Finding the Fourth Proportional to 717.63, 990.43 and 438.02

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Solution

The fourth proportional to 717.63, 990.43 and 438.02 is: 604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.63 : 990.43 = 438.02 : x
  2. Step 2: Convert to fraction form
    717.63/990.43 = 438.02/x
  3. Step 3: Cross multiply
    717.63x = 990.43 × 438.02
  4. Step 4: Simplify right side
    717.63x = 433,834.74
  5. Step 5: Solve for x
    x = 433,834.74/717.63
  6. Step 6: Final answer
    x = 604.54

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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.