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Finding the Fourth Proportional to 740.43, 1,110.64 and 578.25

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Solution

The fourth proportional to 740.43, 1,110.64 and 578.25 is: 867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.43 : 1,110.64 = 578.25 : x
  2. Step 2: Convert to fraction form
    740.43/1,110.64 = 578.25/x
  3. Step 3: Cross multiply
    740.43x = 1,110.64 × 578.25
  4. Step 4: Simplify right side
    740.43x = 642,222.03
  5. Step 5: Solve for x
    x = 642,222.03/740.43
  6. Step 6: Final answer
    x = 867.37

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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.