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Finding the Fourth Proportional to 740.49, 1,021.84 and 445.60

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Solution

The fourth proportional to 740.49, 1,021.84 and 445.60 is: 614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.49 : 1,021.84 = 445.60 : x
  2. Step 2: Convert to fraction form
    740.49/1,021.84 = 445.60/x
  3. Step 3: Cross multiply
    740.49x = 1,021.84 × 445.60
  4. Step 4: Simplify right side
    740.49x = 455,331.90
  5. Step 5: Solve for x
    x = 455,331.90/740.49
  6. Step 6: Final answer
    x = 614.91

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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.