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Finding the Fourth Proportional to 740.68, 1,109.62 and 416.28

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Solution

The fourth proportional to 740.68, 1,109.62 and 416.28 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.68 : 1,109.62 = 416.28 : x
  2. Step 2: Convert to fraction form
    740.68/1,109.62 = 416.28/x
  3. Step 3: Cross multiply
    740.68x = 1,109.62 × 416.28
  4. Step 4: Simplify right side
    740.68x = 461,912.61
  5. Step 5: Solve for x
    x = 461,912.61/740.68
  6. Step 6: Final answer
    x = 623.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.