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Finding the Fourth Proportional to 740.52, 1,019.52 and 629.82

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Solution

The fourth proportional to 740.52, 1,019.52 and 629.82 is: 867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.52 : 1,019.52 = 629.82 : x
  2. Step 2: Convert to fraction form
    740.52/1,019.52 = 629.82/x
  3. Step 3: Cross multiply
    740.52x = 1,019.52 × 629.82
  4. Step 4: Simplify right side
    740.52x = 642,114.09
  5. Step 5: Solve for x
    x = 642,114.09/740.52
  6. Step 6: Final answer
    x = 867.11

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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.