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Finding the Fourth Proportional to 740.22, 1,021.57 and 445.48

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Solution

The fourth proportional to 740.22, 1,021.57 and 445.48 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.22 : 1,021.57 = 445.48 : x
  2. Step 2: Convert to fraction form
    740.22/1,021.57 = 445.48/x
  3. Step 3: Cross multiply
    740.22x = 1,021.57 × 445.48
  4. Step 4: Simplify right side
    740.22x = 455,089.00
  5. Step 5: Solve for x
    x = 455,089.00/740.22
  6. Step 6: Final answer
    x = 614.80

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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.