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Finding the Fourth Proportional to 738.88, 1,024.90 and 720.65

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Solution

The fourth proportional to 738.88, 1,024.90 and 720.65 is: 999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.88 : 1,024.90 = 720.65 : x
  2. Step 2: Convert to fraction form
    738.88/1,024.90 = 720.65/x
  3. Step 3: Cross multiply
    738.88x = 1,024.90 × 720.65
  4. Step 4: Simplify right side
    738.88x = 738,594.95
  5. Step 5: Solve for x
    x = 738,594.95/738.88
  6. Step 6: Final answer
    x = 999.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.